152117852160 has 384 divisors, whose sum is σ = 499293849600. Its totient is φ = 39526072320.

The previous prime is 152117852093. The next prime is 152117852177. The reversal of 152117852160 is 61258711251.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211568281 + ... + 211568999.

It is an arithmetic number, because the mean of its divisors is an integer number (1300244400).

Almost surely, 2^152117852160 is an apocalyptic number.

152117852160 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 152117852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249646924800).

152117852160 is an abundant number, since it is smaller than the sum of its proper divisors (347175997440).

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

152117852160 is an equidigital number, since it uses as much as digits as its factorization.

152117852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 39.

The spelling of 152117852160 in words is "one hundred fifty-two billion, one hundred seventeen million, eight hundred fifty-two thousand, one hundred sixty".