137934439731 has 32 divisors (see below), whose sum is σ = 222947961600. Its totient is φ = 83587775040.

The previous prime is 137934439697. The next prime is 137934439751.

137934439731 is a `hidden beast` number, since 13 + 79 + 3 + 443 + 97 + 31 = 666.

137934439731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 137934439731 - 2⁷ = 137934439603 is a prime.

It is a super-2 number, since 2×137934439731² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137934439751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3765255 + ... + 3801711.

It is an arithmetic number, because the mean of its divisors is an integer number (6967123800).

Almost surely, 2^137934439731 is an apocalyptic number.

137934439731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137934439731 is a deficient number, since it is larger than the sum of its proper divisors (85013521869).

137934439731 is a wasteful number, since it uses less digits than its factorization.

137934439731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49216 (or 49210 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The spelling of 137934439731 in words is "one hundred thirty-seven billion, nine hundred thirty-four million, four hundred thirty-nine thousand, seven hundred thirty-one".