138624560 has 40 divisors (see below), whose sum is σ = 332704896. Its totient is φ = 53660160.

The previous prime is 138624557. The next prime is 138624617. The reversal of 138624560 is 65426831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 138624560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25469 + ... + 30428.

Almost surely, 2^138624560 is an apocalyptic number.

138624560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138624560 is an abundant number, since it is smaller than the sum of its proper divisors (194080336).

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

138624560 is a wasteful number, since it uses less digits than its factorization.

138624560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55941 (or 55935 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 138624560 is about 11773.8931539232. The cubic root of 138624560 is about 517.5433431611.

The spelling of 138624560 in words is "one hundred thirty-eight million, six hundred twenty-four thousand, five hundred sixty".