138757757831 has 16 divisors (see below), whose sum is σ = 173004990720. Its totient is φ = 108117737280.

The previous prime is 138757757797. The next prime is 138757757881.

138757757831 is nontrivially palindromic in base 10.

138757757831 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 138757757831 - 2¹⁸ = 138757495687 is a prime.

It is a super-2 number, since 2×138757757831² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138757757881) 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 15 ways as a sum of consecutive naturals, for example, 2664515 + ... + 2716091.

It is an arithmetic number, because the mean of its divisors is an integer number (10812811920).

Almost surely, 2^138757757831 is an apocalyptic number.

138757757831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138757757831 is a deficient number, since it is larger than the sum of its proper divisors (34247232889).

138757757831 is a wasteful number, since it uses less digits than its factorization.

138757757831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86534.

The product of its digits is 34574400, while the sum is 62.

The spelling of 138757757831 in words is "one hundred thirty-eight billion, seven hundred fifty-seven million, seven hundred fifty-seven thousand, eight hundred thirty-one".