138832657920 has 480 divisors, whose sum is σ = 526935318624. Its totient is φ = 33502003200.

The previous prime is 138832657819. The next prime is 138832657961. The reversal of 138832657920 is 29756238831.

138832657920 is a `hidden beast` number, since 1 + 38 + 8 + 32 + 6 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61077904 + ... + 61080176.

Almost surely, 2^138832657920 is an apocalyptic number.

138832657920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138832657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263467659312).

138832657920 is an abundant number, since it is smaller than the sum of its proper divisors (388102660704).

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

138832657920 is a wasteful number, since it uses less digits than its factorization.

138832657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 138832657920 in words is "one hundred thirty-eight billion, eight hundred thirty-two million, six hundred fifty-seven thousand, nine hundred twenty".