137501313759 has 6 divisors (see below), whose sum is σ = 198613008776. Its totient is φ = 91667542500.

The previous prime is 137501313757. The next prime is 137501313791. The reversal of 137501313759 is 957313105731.

137501313759 is a `hidden beast` number, since 1 + 3 + 7 + 501 + 3 + 137 + 5 + 9 = 666.

137501313759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137501313759 - 2¹ = 137501313757 is a prime.

It is a super-2 number, since 2×137501313759² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137501313757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7638961867 + ... + 7638961884.

Almost surely, 2^137501313759 is an apocalyptic number.

137501313759 is a deficient number, since it is larger than the sum of its proper divisors (61111695017).

137501313759 is a wasteful number, since it uses less digits than its factorization.

137501313759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15277923757 (or 15277923754 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The spelling of 137501313759 in words is "one hundred thirty-seven billion, five hundred one million, three hundred thirteen thousand, seven hundred fifty-nine".