138604032 has 120 divisors (see below), whose sum is σ = 457272816. Its totient is φ = 39591936.

The previous prime is 138604027. The next prime is 138604033. The reversal of 138604032 is 230406831.

It is a happy number.

It is a super-2 number, since 2×138604032² = 38422155373314048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138603987 and 138604005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138604033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30108 + ... + 34404.

Almost surely, 2^138604032 is an apocalyptic number.

138604032 is a gapful number since it is divisible by the number (12) 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 138604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228636408).

138604032 is an abundant number, since it is smaller than the sum of its proper divisors (318668784).

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

138604032 is an equidigital number, since it uses as much as digits as its factorization.

138604032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 138604032 is about 11773.0213624201. The cubic root of 138604032 is about 517.5177953693.

The spelling of 138604032 in words is "one hundred thirty-eight million, six hundred four thousand, thirty-two".