138831461760 has 128 divisors (see below), whose sum is σ = 465816211200. Its totient is φ = 35073202176.

The previous prime is 138831461759. The next prime is 138831461777. The reversal of 138831461760 is 67164138831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1866364 + ... + 1939323.

It is an arithmetic number, because the mean of its divisors is an integer number (3639189150).

Almost surely, 2^138831461760 is an apocalyptic number.

138831461760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138831461760 is an abundant number, since it is smaller than the sum of its proper divisors (326984749440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138831461760 is a wasteful number, since it uses less digits than its factorization.

138831461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805728 (or 3805716 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 138831461760 in words is "one hundred thirty-eight billion, eight hundred thirty-one million, four hundred sixty-one thousand, seven hundred sixty".