152513919901056 has 512 divisors, whose sum is σ = 481692500951040. Its totient is φ = 41838031872000.

The previous prime is 152513919901043. The next prime is 152513919901097. The reversal of 152513919901056 is 650109919315251.

It is a junction number, because it is equal to n+sod(n) for n = 152513919900987 and 152513919901005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9039996301 + ... + 9040013171.

It is an arithmetic number, because the mean of its divisors is an integer number (940805665920).

Almost surely, 2^{152513919901056} is an apocalyptic number.

152513919901056 is a gapful number since it is divisible by the number (16) 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 152513919901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240846250475520).

152513919901056 is an abundant number, since it is smaller than the sum of its proper divisors (329178581049984).

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

152513919901056 is a wasteful number, since it uses less digits than its factorization.

152513919901056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17774 (or 17762 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 57.

The spelling of 152513919901056 in words is "one hundred fifty-two trillion, five hundred thirteen billion, nine hundred nineteen million, nine hundred one thousand, fifty-six".