152816632160 has 192 divisors, whose sum is σ = 394099473600. Its totient is φ = 55775526912.

The previous prime is 152816632153. The next prime is 152816632183. The reversal of 152816632160 is 61236618251.

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, 40287224 + ... + 40291016.

It is an arithmetic number, because the mean of its divisors is an integer number (2052601425).

Almost surely, 2^152816632160 is an apocalyptic number.

152816632160 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 152816632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197049736800).

152816632160 is an abundant number, since it is smaller than the sum of its proper divisors (241282841440).

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

152816632160 is a wasteful number, since it uses less digits than its factorization.

152816632160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 152816632160 in words is "one hundred fifty-two billion, eight hundred sixteen million, six hundred thirty-two thousand, one hundred sixty".