156928000 has 96 divisors (see below), whose sum is σ = 392235480. Its totient is φ = 62668800.

The previous prime is 156927943. The next prime is 156928001. The reversal of 156928000 is 829651.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 150209536 = 2592^2 + 12256^2 .

It is not an unprimeable number, because it can be changed into a prime (156928001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255694 + ... + 256306.

Almost surely, 2^156928000 is an apocalyptic number.

156928000 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 156928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196117740).

156928000 is an abundant number, since it is smaller than the sum of its proper divisors (235307480).

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

156928000 is an frugal number, since it uses more digits than its factorization.

156928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 156928000 is about 12527.0906438806. The cubic root of 156928000 is about 539.3865919918.

The spelling of 156928000 in words is "one hundred fifty-six million, nine hundred twenty-eight thousand".