126165225 has 96 divisors (see below), whose sum is σ = 235699200. Its totient is φ = 59270400.

The previous prime is 126165217. The next prime is 126165251. The reversal of 126165225 is 522561621.

It is not a de Polignac number, because 126165225 - 2³ = 126165217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126165192 and 126165201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1776940 + ... + 1777010.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 2^126165225 is an apocalyptic number.

126165225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126165225 is a deficient number, since it is larger than the sum of its proper divisors (109533975).

126165225 is a wasteful number, since it uses less digits than its factorization.

126165225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 126165225 is about 11232.3294556383. The cubic root of 126165225 is about 501.5488306268.

The spelling of 126165225 in words is "one hundred twenty-six million, one hundred sixty-five thousand, two hundred twenty-five".