157365144 has 96 divisors (see below), whose sum is σ = 460902000. Its totient is φ = 48335616.

The previous prime is 157365133. The next prime is 157365157. The reversal of 157365144 is 441563751.

157365144 is a `hidden beast` number, since 157 + 365 + 144 = 666.

It is a super-2 number, since 2×157365144² = 49527577092281472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157365099 and 157365108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49062 + ... + 52170.

Almost surely, 2^157365144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157365144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230451000).

157365144 is an abundant number, since it is smaller than the sum of its proper divisors (303536856).

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

157365144 is a wasteful number, since it uses less digits than its factorization.

157365144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3170 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 157365144 is about 12544.5264557894. The cubic root of 157365144 is about 539.8869722285.

The spelling of 157365144 in words is "one hundred fifty-seven million, three hundred sixty-five thousand, one hundred forty-four".