138919920 has 160 divisors (see below), whose sum is σ = 462827520. Its totient is φ = 34344960.

The previous prime is 138919901. The next prime is 138919933. The reversal of 138919920 is 29919831.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 322105 + ... + 322535.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2^138919920 is an apocalyptic number.

138919920 is a gapful number since it is divisible by the number (10) 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 138919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

138919920 is an abundant number, since it is smaller than the sum of its proper divisors (323907600).

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

138919920 is a wasteful number, since it uses less digits than its factorization.

138919920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 138919920 is about 11786.4294847931. The cubic root of 138919920 is about 517.9106498045.

The spelling of 138919920 in words is "one hundred thirty-eight million, nine hundred nineteen thousand, nine hundred twenty".