156457120 has 96 divisors (see below), whose sum is σ = 396074448. Its totient is φ = 58195968.

The previous prime is 156457111. The next prime is 156457121. The reversal of 156457120 is 21754651.

It can be written as a sum of positive squares in 8 ways, for example, as 95179536 + 61277584 = 9756^2 + 7828^2 .

It is not an unprimeable number, because it can be changed into a prime (156457121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263544 + ... + 264136.

Almost surely, 2^156457120 is an apocalyptic number.

156457120 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 156457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198037224).

156457120 is an abundant number, since it is smaller than the sum of its proper divisors (239617328).

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

156457120 is a wasteful number, since it uses less digits than its factorization.

156457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 156457120 is about 12508.2820563017. The cubic root of 156457120 is about 538.8465549027.

The spelling of 156457120 in words is "one hundred fifty-six million, four hundred fifty-seven thousand, one hundred twenty".