157752360 has 160 divisors (see below), whose sum is σ = 535134600. Its totient is φ = 41679360.

The previous prime is 157752359. The next prime is 157752391. The reversal of 157752360 is 63257751.

157752360 is a `hidden beast` number, since 1 + 5 + 77 + 523 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36796356 + 120956004 = 6066^2 + 10998^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 586306 + ... + 586574.

Almost surely, 2^157752360 is an apocalyptic number.

157752360 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 157752360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267567300).

157752360 is an abundant number, since it is smaller than the sum of its proper divisors (377382240).

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

157752360 is a wasteful number, since it uses less digits than its factorization.

157752360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 157752360 is about 12559.9506368457. The cubic root of 157752360 is about 540.3294286198.

The spelling of 157752360 in words is "one hundred fifty-seven million, seven hundred fifty-two thousand, three hundred sixty".