152925212160 has 960 divisors, whose sum is σ = 634879365120. Its totient is φ = 33283768320.

The previous prime is 152925212159. The next prime is 152925212303. The reversal of 152925212160 is 61212529251.

152925212160 is a `hidden beast` number, since 1 + 52 + 9 + 2 + 521 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×152925212160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364976431 + ... + 364976849.

It is an arithmetic number, because the mean of its divisors is an integer number (661332672).

Almost surely, 2^152925212160 is an apocalyptic number.

152925212160 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 152925212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317439682560).

152925212160 is an abundant number, since it is smaller than the sum of its proper divisors (481954152960).

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

152925212160 is a wasteful number, since it uses less digits than its factorization.

152925212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

It can be divided in two parts, 152925 and 212160, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 152925212160 in words is "one hundred fifty-two billion, nine hundred twenty-five million, two hundred twelve thousand, one hundred sixty".