138915403593120 has 1728 divisors, whose sum is σ = 611306382855168. Its totient is φ = 28105684992000.

The previous prime is 138915403593053. The next prime is 138915403593137. The reversal of 138915403593120 is 21395304519831.

It is a happy number.

138915403593120 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 1 + 5 + 40 + 3 + 593 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×138915403593120² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11293010970 + ... + 11293023270.

It is an arithmetic number, because the mean of its divisors is an integer number (353765267856).

Almost surely, 2^{138915403593120} is an apocalyptic number.

138915403593120 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 138915403593120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305653191427584).

138915403593120 is an abundant number, since it is smaller than the sum of its proper divisors (472390979262048).

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

138915403593120 is a wasteful number, since it uses less digits than its factorization.

138915403593120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12595 (or 12573 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 138915403593120 in words is "one hundred thirty-eight trillion, nine hundred fifteen billion, four hundred three million, five hundred ninety-three thousand, one hundred twenty".