157894272 has 160 divisors (see below), whose sum is σ = 477758820. Its totient is φ = 51757056.

The previous prime is 157894271. The next prime is 157894279. The reversal of 157894272 is 272498751.

It is a happy number.

157894272 is a `hidden beast` number, since 1 + 578 + 9 + 4 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 155151936 + 2742336 = 12456^2 + 1656^2 .

It is a super-2 number, since 2×157894272² = 49861202260819968, which contains 22 as substring.

Its product of digits (282240) is a multiple of the sum of its prime factors (280).

It is not an unprimeable number, because it can be changed into a prime (157894271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1005618 + ... + 1005774.

Almost surely, 2^157894272 is an apocalyptic number.

157894272 is a gapful number since it is divisible by the number (12) 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 157894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238879410).

157894272 is an abundant number, since it is smaller than the sum of its proper divisors (319864548).

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

157894272 is an equidigital number, since it uses as much as digits as its factorization.

157894272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 259 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 157894272 is about 12565.5987521487. The cubic root of 157894272 is about 540.4914045340.

The spelling of 157894272 in words is "one hundred fifty-seven million, eight hundred ninety-four thousand, two hundred seventy-two".