138922560 has 224 divisors, whose sum is σ = 560344320. Its totient is φ = 31739904.

The previous prime is 138922543. The next prime is 138922573. The reversal of 138922560 is 65229831.

138922560 is a `hidden beast` number, since 1 + 3 + 8 + 92 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 59332 + ... + 61628.

Almost surely, 2^138922560 is an apocalyptic number.

138922560 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 138922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280172160).

138922560 is an abundant number, since it is smaller than the sum of its proper divisors (421421760).

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

138922560 is a wasteful number, since it uses less digits than its factorization.

138922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 138922560 is about 11786.5414774649. The cubic root of 138922560 is about 517.9139305326.

The spelling of 138922560 in words is "one hundred thirty-eight million, nine hundred twenty-two thousand, five hundred sixty".