152016752930688 has 256 divisors, whose sum is σ = 453873094113600. Its totient is φ = 50084894343168.

The previous prime is 152016752930659. The next prime is 152016752930767. The reversal of 152016752930688 is 886039257610251.

152016752930688 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 16 + 7 + 529 + 30 + 68 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258841020 + ... + 259427652.

Almost surely, 2^{152016752930688} is an apocalyptic number.

152016752930688 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 152016752930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226936547056800).

152016752930688 is an abundant number, since it is smaller than the sum of its proper divisors (301856341182912).

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

152016752930688 is an equidigital number, since it uses as much as digits as its factorization.

152016752930688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587526 (or 587508 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 152016752930688 in words is "one hundred fifty-two trillion, sixteen billion, seven hundred fifty-two million, nine hundred thirty thousand, six hundred eighty-eight".