138932928 has 224 divisors, whose sum is σ = 437814720. Its totient is φ = 43130880.

The previous prime is 138932909. The next prime is 138933017. The reversal of 138932928 is 829239831.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2621350 + ... + 2621402.

It is an arithmetic number, because the mean of its divisors is an integer number (1954530).

Almost surely, 2^138932928 is an apocalyptic number.

138932928 is a gapful number since it is divisible by the number (18) 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 138932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218907360).

138932928 is an abundant number, since it is smaller than the sum of its proper divisors (298881792).

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

138932928 is a wasteful number, since it uses less digits than its factorization.

138932928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 138932928 is about 11786.9812929350. The cubic root of 138932928 is about 517.9268144444.

The spelling of 138932928 in words is "one hundred thirty-eight million, nine hundred thirty-two thousand, nine hundred twenty-eight".