138846560400 has 120 divisors (see below), whose sum is σ = 494190944160. Its totient is φ = 37025746560.

The previous prime is 138846560387. The next prime is 138846560449. The reversal of 138846560400 is 4065648831.

138846560400 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 46 + 560 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6417282 + ... + 6438881.

It is an arithmetic number, because the mean of its divisors is an integer number (4118257868).

Almost surely, 2^138846560400 is an apocalyptic number.

138846560400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138846560400 is an abundant number, since it is smaller than the sum of its proper divisors (355344383760).

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

138846560400 is a wasteful number, since it uses less digits than its factorization.

138846560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12856190 (or 12856173 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 138846560400 in words is "one hundred thirty-eight billion, eight hundred forty-six million, five hundred sixty thousand, four hundred".