138138334632 has 64 divisors (see below), whose sum is σ = 384066144000. Its totient is φ = 46004285952.

The previous prime is 138138334601. The next prime is 138138334667. The reversal of 138138334632 is 236433831831.

138138334632 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 3 + 8 + 3 + 3 + 4 + 632 = 666.

138138334632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 51657 + ... + 528152.

It is an arithmetic number, because the mean of its divisors is an integer number (6001033500).

Almost surely, 2^138138334632 is an apocalyptic number.

138138334632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138138334632 is an abundant number, since it is smaller than the sum of its proper divisors (245927809368).

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

138138334632 is a wasteful number, since it uses less digits than its factorization.

138138334632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580927 (or 580917 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 138138334632 in words is "one hundred thirty-eight billion, one hundred thirty-eight million, three hundred thirty-four thousand, six hundred thirty-two".