137931139731 has 24 divisors (see below), whose sum is σ = 233382561984. Its totient is φ = 71652539280.

The previous prime is 137931139727. The next prime is 137931139741.

137931139731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 137931139731 - 2² = 137931139727 is a prime.

It is a super-2 number, since 2×137931139731² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137931139741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42648705 + ... + 42651938.

It is an arithmetic number, because the mean of its divisors is an integer number (9724273416).

Almost surely, 2^137931139731 is an apocalyptic number.

137931139731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137931139731 is a deficient number, since it is larger than the sum of its proper divisors (95451422253).

137931139731 is a wasteful number, since it uses less digits than its factorization.

137931139731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85300671 (or 85300664 counting only the distinct ones).

The product of its digits is 321489, while the sum is 48.

The spelling of 137931139731 in words is "one hundred thirty-seven billion, nine hundred thirty-one million, one hundred thirty-nine thousand, seven hundred thirty-one".