157628025 has 81 divisors (see below), whose sum is σ = 302935503. Its totient is φ = 81356400.

The previous prime is 157628017. The next prime is 157628027. The reversal of 157628025 is 520826751.

It is a happy number.

The square root of 157628025 is 12555.

It is a perfect power (a square), and thus also a powerful number.

157628025 is a `hidden beast` number, since 1 + 5 + 7 + 628 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56746089 + 100881936 = 7533^2 + 10044^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 157628025 - 2³ = 157628017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157628027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5084760 + ... + 5084790.

Almost surely, 2^157628025 is an apocalyptic number.

157628025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157628025 is the 12555-th square number.

157628025 is the 6278-th centered octagonal number.

It is an amenable number.

157628025 is a deficient number, since it is larger than the sum of its proper divisors (145307478).

157628025 is an frugal number, since it uses more digits than its factorization.

157628025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The cubic root of 157628025 is about 540.1874349335.

Multiplying 157628025 by its sum of digits (36), we get a square (5674608900 = 75330²).

The spelling of 157628025 in words is "one hundred fifty-seven million, six hundred twenty-eight thousand, twenty-five".