138856032 has 144 divisors (see below), whose sum is σ = 468179712. Its totient is φ = 39657600.

The previous prime is 138856027. The next prime is 138856043. The reversal of 138856032 is 230658831.

138856032 is a `hidden beast` number, since 13 + 88 + 560 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 53157 + ... + 55707.

It is an arithmetic number, because the mean of its divisors is an integer number (3251248).

Almost surely, 2^138856032 is an apocalyptic number.

138856032 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 138856032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234089856).

138856032 is an abundant number, since it is smaller than the sum of its proper divisors (329323680).

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

138856032 is an equidigital number, since it uses as much as digits as its factorization.

138856032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 138856032 is about 11783.7189375850. The cubic root of 138856032 is about 517.8312435076.

The spelling of 138856032 in words is "one hundred thirty-eight million, eight hundred fifty-six thousand, thirty-two".