152305925304960 has 2048 divisors, whose sum is σ = 653853358080000. Its totient is φ = 32731162214400.

The previous prime is 152305925304839. The next prime is 152305925304961. The reversal of 152305925304960 is 69403529503251.

152305925304960 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 0 + 5 + 9 + 2 + 530 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 152305925304897 and 152305925304906.

It is not an unprimeable number, because it can be changed into a prime (152305925304961) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 292333829500 + ... + 292333830020.

It is an arithmetic number, because the mean of its divisors is an integer number (319264335000).

Almost surely, 2^{152305925304960} is an apocalyptic number.

152305925304960 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 152305925304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326926679040000).

152305925304960 is an abundant number, since it is smaller than the sum of its proper divisors (501547432775040).

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

152305925304960 is a wasteful number, since it uses less digits than its factorization.

152305925304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 152305925304960 in words is "one hundred fifty-two trillion, three hundred five billion, nine hundred twenty-five million, three hundred four thousand, nine hundred sixty".