138624922800 has 600 divisors, whose sum is σ = 612337606496. Its totient is φ = 29247713280.

The previous prime is 138624922783. The next prime is 138624922829. The reversal of 138624922800 is 8229426831.

138624922800 is a `hidden beast` number, since 1 + 3 + 86 + 2 + 492 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 2924892 + ... + 2971908.

Almost surely, 2^138624922800 is an apocalyptic number.

138624922800 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 138624922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306168803248).

138624922800 is an abundant number, since it is smaller than the sum of its proper divisors (473712683696).

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

138624922800 is a wasteful number, since it uses less digits than its factorization.

138624922800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47067 (or 47047 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 138624922800 in words is "one hundred thirty-eight billion, six hundred twenty-four million, nine hundred twenty-two thousand, eight hundred".