138180960 has 72 divisors (see below), whose sum is σ = 471547440. Its totient is φ = 36847872.

The previous prime is 138180943. The next prime is 138180979. The reversal of 138180960 is 69081831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46540 + ... + 49419.

It is an arithmetic number, because the mean of its divisors is an integer number (6549270).

Almost surely, 2^138180960 is an apocalyptic number.

138180960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138180960 is an abundant number, since it is smaller than the sum of its proper divisors (333366480).

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

138180960 is a wasteful number, since it uses less digits than its factorization.

138180960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95980 (or 95969 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 138180960 is about 11755.0397702432. The cubic root of 138180960 is about 516.9907052741.

The spelling of 138180960 in words is "one hundred thirty-eight million, one hundred eighty thousand, nine hundred sixty".