138712492800 has 1620 divisors, whose sum is σ = 622963799640. Its totient is φ = 29334896640.

The previous prime is 138712492777. The next prime is 138712492829. The reversal of 138712492800 is 8294217831.

It is a happy number.

138712492800 is a `hidden beast` number, since 1 + 3 + 87 + 1 + 2 + 492 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2351059171 + ... + 2351059229.

Almost surely, 2^138712492800 is an apocalyptic number.

138712492800 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 138712492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311481899820).

138712492800 is an abundant number, since it is smaller than the sum of its proper divisors (484251306840).

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

138712492800 is an equidigital number, since it uses as much as digits as its factorization.

138712492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 138712492800 in words is "one hundred thirty-eight billion, seven hundred twelve million, four hundred ninety-two thousand, eight hundred".