138606624 has 72 divisors (see below), whose sum is σ = 424494252. Its totient is φ = 42647040.

The previous prime is 138606569. The next prime is 138606641. The reversal of 138606624 is 426606831.

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 24800400 = 10668^2 + 4980^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14767 + ... + 22254.

Almost surely, 2^138606624 is an apocalyptic number.

It is an amenable number.

138606624 is an abundant number, since it is smaller than the sum of its proper divisors (285887628).

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

138606624 is a wasteful number, since it uses less digits than its factorization.

138606624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37050 (or 37039 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 138606624 is about 11773.1314440976. The cubic root of 138606624 is about 517.5210213403.

The spelling of 138606624 in words is "one hundred thirty-eight million, six hundred six thousand, six hundred twenty-four".