138892320 has 240 divisors, whose sum is σ = 560564928. Its totient is φ = 31726080.

The previous prime is 138892319. The next prime is 138892333. The reversal of 138892320 is 23298831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 89955 + ... + 91485.

Almost surely, 2^138892320 is an apocalyptic number.

138892320 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 138892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280282464).

138892320 is an abundant number, since it is smaller than the sum of its proper divisors (421672608).

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

138892320 is a wasteful number, since it uses less digits than its factorization.

138892320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138892320 is about 11785.2585885928. The cubic root of 138892320 is about 517.8763487945.

The spelling of 138892320 in words is "one hundred thirty-eight million, eight hundred ninety-two thousand, three hundred twenty".