diff --git a/Lib/pprint.py b/Lib/pprint.py
index e111bd59d4152c..80056642c4ba70 100644
--- a/Lib/pprint.py
+++ b/Lib/pprint.py
@@ -627,7 +627,10 @@ def _safe_repr(self, object, context, maxlevels, level):
         # Return triple (repr_string, isreadable, isrecursive).
         typ = type(object)
         if typ in _builtin_scalars:
-            return repr(object), True, False
+            rep = repr(object)
+            if typ is float and rep in ("inf", "-inf", "nan"):
+                return rep, False, False
+            return rep, True, False
 
         r = getattr(typ, "__repr__", None)
 
diff --git a/Lib/test/test_pprint.py b/Lib/test/test_pprint.py
index f3860a5d511989..92818efce9bebf 100644
--- a/Lib/test/test_pprint.py
+++ b/Lib/test/test_pprint.py
@@ -182,6 +182,14 @@ def test_basic(self):
             self.assertTrue(pp.isreadable(safe),
                             "expected isreadable for %r" % (safe,))
 
+    def test_isreadable_float_specials(self):
+        # inf, -inf, nan are not valid Python literals so isreadable should be False
+        for v in (float("inf"), float("-inf"), float("nan")):
+            self.assertFalse(pprint.isreadable(v),
+                             "expected not isreadable for %r" % (v,))
+            self.assertFalse(pprint.PrettyPrinter().isreadable(v),
+                             "expected not isreadable for %r" % (v,))
+
     def test_stdout_is_None(self):
         with contextlib.redirect_stdout(None):
             # smoke test - there is no output to check
diff --git a/Misc/NEWS.d/next/Library/2026-02-22-00-00-00.gh-issue-145117.pPrint.rst b/Misc/NEWS.d/next/Library/2026-02-22-00-00-00.gh-issue-145117.pPrint.rst
new file mode 100644
index 00000000000000..c5af010378af16
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2026-02-22-00-00-00.gh-issue-145117.pPrint.rst
@@ -0,0 +1,5 @@
+Fix :func:`pprint.isreadable` to return ``False`` for ``float('inf')``,
+``float('-inf')``, and ``float('nan')``. Their string representations
+(``inf``, ``-inf``, ``nan``) are not valid Python literals and cannot
+be reconstructed via :func:`eval`, violating the documented contract of
+:func:`~pprint.isreadable`.