138134431831 has 8 divisors (see below), whose sum is σ = 151252304400. Its totient is φ = 125109925440.

The previous prime is 138134431823. The next prime is 138134431837.

138134431831 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138134431831 - 2³ = 138134431823 is a prime.

It is a super-2 number, since 2×138134431831² (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 (138134431837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23338446 + ... + 23344363.

It is an arithmetic number, because the mean of its divisors is an integer number (18906538050).

Almost surely, 2^138134431831 is an apocalyptic number.

138134431831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138134431831 is a deficient number, since it is larger than the sum of its proper divisors (13117872569).

138134431831 is a wasteful number, since it uses less digits than its factorization.

138134431831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46683089.

The product of its digits is 82944, while the sum is 40.

It can be divided in two parts, 138134 and 431831, that added together give a palindrome (569965).

The spelling of 138134431831 in words is "one hundred thirty-eight billion, one hundred thirty-four million, four hundred thirty-one thousand, eight hundred thirty-one".