138932525160 has 1280 divisors, whose sum is σ = 600668006400. Its totient is φ = 28267315200.

The previous prime is 138932525153. The next prime is 138932525183. The reversal of 138932525160 is 61525239831.

138932525160 is a `hidden beast` number, since 1 + 3 + 89 + 3 + 2 + 52 + 516 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 244169356 + ... + 244169924.

It is an arithmetic number, because the mean of its divisors is an integer number (469271880).

Almost surely, 2^138932525160 is an apocalyptic number.

138932525160 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 138932525160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300334003200).

138932525160 is an abundant number, since it is smaller than the sum of its proper divisors (461735481240).

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

138932525160 is a wasteful number, since it uses less digits than its factorization.

138932525160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 138932525160 in words is "one hundred thirty-eight billion, nine hundred thirty-two million, five hundred twenty-five thousand, one hundred sixty".