diff --git a/gunicorn/arbiter.py b/gunicorn/arbiter.py
index 646d684ef..82defa440 100644
--- a/gunicorn/arbiter.py
+++ b/gunicorn/arbiter.py
@@ -523,36 +523,47 @@ def reap_workers(self):
                     # A worker was terminated. If the termination reason was
                     # that it could not boot, we'll shut it down to avoid
                     # infinite start/stop cycles.
-                    exitcode = status >> 8
-                    if exitcode != 0:
-                        self.log.error('Worker (pid:%s) exited with code %s', wpid, exitcode)
-                    if exitcode == self.WORKER_BOOT_ERROR:
-                        reason = "Worker failed to boot."
-                        raise HaltServer(reason, self.WORKER_BOOT_ERROR)
-                    if exitcode == self.APP_LOAD_ERROR:
-                        reason = "App failed to load."
-                        raise HaltServer(reason, self.APP_LOAD_ERROR)
-
-                    if exitcode > 0:
-                        # If the exit code of the worker is greater than 0,
-                        # let the user know.
-                        self.log.error("Worker (pid:%s) exited with code %s.",
-                                       wpid, exitcode)
-                    elif status > 0:
-                        # If the exit code of the worker is 0 and the status
-                        # is greater than 0, then it was most likely killed
-                        # via a signal.
+
+                    # Check if process was terminated by a signal
+                    if os.WIFSIGNALED(status):
+                        sig_number = os.WTERMSIG(status)
                         try:
-                            sig_name = signal.Signals(status).name
+                            sig_name = signal.Signals(sig_number).name
                         except ValueError:
-                            sig_name = "code {}".format(status)
+                            sig_name = "signal {}".format(sig_number)
                         msg = "Worker (pid:{}) was sent {}!".format(
                             wpid, sig_name)
 
                         # Additional hint for SIGKILL
-                        if status == signal.SIGKILL:
+                        if sig_number == signal.SIGKILL:
                             msg += " Perhaps out of memory?"
                         self.log.error(msg)
+                    elif os.WIFEXITED(status):
+                        exitcode = os.WEXITSTATUS(status)
+
+                        # Check if exitcode indicates signal termination (shell convention: 128 + signal_number)
+                        if exitcode > 128:
+                            sig_number = exitcode - 128
+                            try:
+                                sig_name = signal.Signals(sig_number).name
+                            except ValueError:
+                                sig_name = "signal {}".format(sig_number)
+                            msg = "Worker (pid:{}) was sent {}!".format(
+                                wpid, sig_name)
+
+                            # Additional hint for SIGKILL
+                            if sig_number == signal.SIGKILL:
+                                msg += " Perhaps out of memory?"
+                            self.log.error(msg)
+                        elif exitcode != 0:
+                            self.log.error('Worker (pid:%s) exited with code %s', wpid, exitcode)
+
+                        if exitcode == self.WORKER_BOOT_ERROR:
+                            reason = "Worker failed to boot."
+                            raise HaltServer(reason, self.WORKER_BOOT_ERROR)
+                        if exitcode == self.APP_LOAD_ERROR:
+                            reason = "App failed to load."
+                            raise HaltServer(reason, self.APP_LOAD_ERROR)
 
                     worker = self.WORKERS.pop(wpid, None)
                     if not worker:
diff --git a/tests/test_arbiter.py b/tests/test_arbiter.py
index 8c1527e26..130e5f1f7 100644
--- a/tests/test_arbiter.py
+++ b/tests/test_arbiter.py
@@ -185,3 +185,54 @@ def test_env_vars_available_during_preload():
     # Note that we aren't making any assertions here, they are made in the
     # dummy application object being loaded here instead.
     gunicorn.arbiter.Arbiter(PreloadedAppWithEnvSettings())
+
+
+@mock.patch('os.waitpid')
+@mock.patch('os.WIFSIGNALED')
+@mock.patch('os.WTERMSIG')
+def test_arbiter_reap_workers_with_signal(mock_wtermsig, mock_wifsignaled, mock_os_waitpid):
+    """Test that workers terminated by signals are logged with signal names."""
+    # Simulate SIGABRT (signal number 6)
+    mock_os_waitpid.side_effect = [(42, 6), (0, 0)]
+    mock_wifsignaled.return_value = True
+    mock_wtermsig.return_value = 6  # SIGABRT
+
+    arbiter = gunicorn.arbiter.Arbiter(DummyApplication())
+    arbiter.cfg.settings['child_exit'] = mock.Mock()
+    mock_worker = mock.Mock()
+    arbiter.WORKERS = {42: mock_worker}
+
+    with mock.patch.object(arbiter.log, 'error') as mock_log_error:
+        arbiter.reap_workers()
+        # Verify that the log message contains the signal name "SIGABRT"
+        assert mock_log_error.called
+        log_message = mock_log_error.call_args[0][0]
+        assert 'SIGABRT' in log_message
+        assert 'pid:42' in log_message or 'pid:{}'.format(42) in log_message
+
+
+@mock.patch('os.waitpid')
+@mock.patch('os.WIFSIGNALED')
+@mock.patch('os.WIFEXITED')
+@mock.patch('os.WEXITSTATUS')
+def test_arbiter_reap_workers_with_exitcode_134(mock_wexitstatus, mock_wifexited,
+                                                 mock_wifsignaled, mock_os_waitpid):
+    """Test that workers exiting with code 134 (128+6) are logged as SIGABRT."""
+    # Simulate exit code 134 (128 + SIGABRT)
+    mock_os_waitpid.side_effect = [(42, 34304), (0, 0)]  # 34304 = 134 << 8
+    mock_wifsignaled.return_value = False
+    mock_wifexited.return_value = True
+    mock_wexitstatus.return_value = 134
+
+    arbiter = gunicorn.arbiter.Arbiter(DummyApplication())
+    arbiter.cfg.settings['child_exit'] = mock.Mock()
+    mock_worker = mock.Mock()
+    arbiter.WORKERS = {42: mock_worker}
+
+    with mock.patch.object(arbiter.log, 'error') as mock_log_error:
+        arbiter.reap_workers()
+        # Verify that the log message contains the signal name "SIGABRT", not "code 134"
+        assert mock_log_error.called
+        log_message = mock_log_error.call_args[0][0]
+        assert 'SIGABRT' in log_message
+        assert 'code 134' not in log_message