138907612800 has 1440 divisors, whose sum is σ = 582136595040. Its totient is φ = 32572108800.

The previous prime is 138907612787. The next prime is 138907612813. The reversal of 138907612800 is 8216709831.

It is an interprime number because it is at equal distance from previous prime (138907612787) and next prime (138907612813).

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 1348617549 + ... + 1348617651.

Almost surely, 2^138907612800 is an apocalyptic number.

138907612800 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 138907612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291068297520).

138907612800 is an abundant number, since it is smaller than the sum of its proper divisors (443228982240).

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

138907612800 is a wasteful number, since it uses less digits than its factorization.

138907612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 138907612800 in words is "one hundred thirty-eight billion, nine hundred seven million, six hundred twelve thousand, eight hundred".