157580352 has 84 divisors (see below), whose sum is σ = 457525120. Its totient is φ = 51846912.

The previous prime is 157580341. The next prime is 157580359. The reversal of 157580352 is 253085751.

157580352 is a `hidden beast` number, since 1 + 575 + 80 + 3 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (157580359) 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 11 ways as a sum of consecutive naturals, for example, 43773 + ... + 47235.

Almost surely, 2^157580352 is an apocalyptic number.

157580352 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 157580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228762560).

157580352 is an abundant number, since it is smaller than the sum of its proper divisors (299944768).

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

157580352 is a wasteful number, since it uses less digits than its factorization.

157580352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 157580352 is about 12553.1012901195. The cubic root of 157580352 is about 540.1329713692.

The spelling of 157580352 in words is "one hundred fifty-seven million, five hundred eighty thousand, three hundred fifty-two".