138135531831 has 32 divisors (see below), whose sum is σ = 213164851200. Its totient is φ = 78687715680.

The previous prime is 138135531739. The next prime is 138135531851.

138135531831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 138135531831 - 2¹⁰ = 138135530807 is a prime.

It is a super-2 number, since 2×138135531831² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138135531851) 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, 787741 + ... + 946998.

It is an arithmetic number, because the mean of its divisors is an integer number (6661401600).

Almost surely, 2^138135531831 is an apocalyptic number.

138135531831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138135531831 is a deficient number, since it is larger than the sum of its proper divisors (75029319369).

138135531831 is a wasteful number, since it uses less digits than its factorization.

138135531831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734899.

The product of its digits is 129600, while the sum is 42.

It can be divided in two parts, 138135 and 531831, that added together give a palindrome (669966).

The spelling of 138135531831 in words is "one hundred thirty-eight billion, one hundred thirty-five million, five hundred thirty-one thousand, eight hundred thirty-one".