174736540225 has 81 divisors (see below), whose sum is σ = 240876323163. Its totient is φ = 125685406080.

The previous prime is 174736540219. The next prime is 174736540241. The reversal of 174736540225 is 522045637471.

The square root of 174736540225 is 418015.

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

It can be written as a sum of positive squares in 13 ways, for example, as 140937923889 + 33798616336 = 375417^2 + 183844^2 .

It is not a de Polignac number, because 174736540225 - 2⁵ = 174736540193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1603087471 + ... + 1603087579.

Almost surely, 2^174736540225 is an apocalyptic number.

174736540225 is the 418015-th square number.

174736540225 is the 209008-th centered octagonal number.

It is an amenable number.

174736540225 is a deficient number, since it is larger than the sum of its proper divisors (66139782938).

174736540225 is an equidigital number, since it uses as much as digits as its factorization.

174736540225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 174736540225 in words is "one hundred seventy-four billion, seven hundred thirty-six million, five hundred forty thousand, two hundred twenty-five".