157307200 has 42 divisors (see below), whose sum is σ = 387077966. Its totient is φ = 62922240.

The previous prime is 157307173. The next prime is 157307203. The reversal of 157307200 is 2703751.

It can be written as a sum of positive squares in 3 ways, for example, as 12730624 + 144576576 = 3568^2 + 12024^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157307203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47559 + ... + 50758.

Almost surely, 2^157307200 is an apocalyptic number.

157307200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157307200 is an abundant number, since it is smaller than the sum of its proper divisors (229770766).

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

157307200 is an equidigital number, since it uses as much as digits as its factorization.

157307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98339 (or 98324 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 157307200 is about 12542.2167099760. The cubic root of 157307200 is about 539.8206995027.

The spelling of 157307200 in words is "one hundred fifty-seven million, three hundred seven thousand, two hundred".