157152000 has 144 divisors (see below), whose sum is σ = 522299232. Its totient is φ = 41881600.

The previous prime is 157151993. The next prime is 157152001. The reversal of 157152000 is 251751.

It is a super-2 number, since 2×157152000² = 49393502208000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157152001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95182 + ... + 96818.

It is an arithmetic number, because the mean of its divisors is an integer number (3627078).

Almost surely, 2^157152000 is an apocalyptic number.

157152000 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 157152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261149616).

157152000 is an abundant number, since it is smaller than the sum of its proper divisors (365147232).

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

157152000 is an equidigital number, since it uses as much as digits as its factorization.

157152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 157152000 is about 12536.0280791007. The cubic root of 157152000 is about 539.6431112331.

The spelling of 157152000 in words is "one hundred fifty-seven million, one hundred fifty-two thousand".