156800160 has 288 divisors, whose sum is σ = 615625920. Its totient is φ = 35942400.

The previous prime is 156800101. The next prime is 156800173. The reversal of 156800160 is 61008651.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300700 + ... + 301220.

It is an arithmetic number, because the mean of its divisors is an integer number (2137590).

Almost surely, 2^156800160 is an apocalyptic number.

156800160 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 156800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307812960).

156800160 is an abundant number, since it is smaller than the sum of its proper divisors (458825760).

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

156800160 is a wasteful number, since it uses less digits than its factorization.

156800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 156800160 is about 12521.9870627628. The cubic root of 156800160 is about 539.2400833700.

The spelling of 156800160 in words is "one hundred fifty-six million, eight hundred thousand, one hundred sixty".