138962308320000 has 1440 divisors, whose sum is σ = 561073161116160. Its totient is φ = 33634621440000.

The previous prime is 138962308319987. The next prime is 138962308320037. The reversal of 138962308320000 is 23803269831.

138962308320000 is a `hidden beast` number, since 1 + 3 + 8 + 96 + 230 + 8 + 320 + 0 + 0 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 35972638069 + ... + 35972641931.

It is an arithmetic number, because the mean of its divisors is an integer number (389634139664).

Almost surely, 2^{138962308320000} is an apocalyptic number.

138962308320000 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 138962308320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280536580558080).

138962308320000 is an abundant number, since it is smaller than the sum of its proper divisors (422110852796160).

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

138962308320000 is an equidigital number, since it uses as much as digits as its factorization.

138962308320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 138962308320000 in words is "one hundred thirty-eight trillion, nine hundred sixty-two billion, three hundred eight million, three hundred twenty thousand".