138759415200 has 864 divisors, whose sum is σ = 592030857600. Its totient is φ = 31701196800.

The previous prime is 138759415159. The next prime is 138759415229. The reversal of 138759415200 is 2514957831.

138759415200 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 594 + 1 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 66678160 + ... + 66680240.

It is an arithmetic number, because the mean of its divisors is an integer number (685220900).

Almost surely, 2^138759415200 is an apocalyptic number.

138759415200 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 138759415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296015428800).

138759415200 is an abundant number, since it is smaller than the sum of its proper divisors (453271442400).

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

138759415200 is an equidigital number, since it uses as much as digits as its factorization.

138759415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 138759415200 in words is "one hundred thirty-eight billion, seven hundred fifty-nine million, four hundred fifteen thousand, two hundred".