137 is a prime number.
137 has a representation as a sum of two squares: 137 = 42 + 112.
137 and 139 form a twin prime pair.
137 is the hypotenuse of a primitive Pythagorean triple: 1372 = 882 + 1052.
137 is a divisor of 374 - 1.
137 = 128 + 8 + 1 = 27 + 23 + 20.
Source: Prime Curios!