152252921808 has 640 divisors, whose sum is σ = 520766668800. Its totient is φ = 42138206208.

The previous prime is 152252921753. The next prime is 152252921851. The reversal of 152252921808 is 808129252251.

152252921808 is a `hidden beast` number, since 1 + 5 + 22 + 529 + 21 + 80 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 351623160 + ... + 351623592.

It is an arithmetic number, because the mean of its divisors is an integer number (813697920).

Almost surely, 2^152252921808 is an apocalyptic number.

152252921808 is a gapful number since it is divisible by the number (18) 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 152252921808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260383334400).

152252921808 is an abundant number, since it is smaller than the sum of its proper divisors (368513746992).

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

152252921808 is a wasteful number, since it uses less digits than its factorization.

152252921808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 152252921808 in words is "one hundred fifty-two billion, two hundred fifty-two million, nine hundred twenty-one thousand, eight hundred eight".