127904125 has 16 divisors (see below), whose sum is σ = 161431920. Its totient is φ = 101164800.

The previous prime is 127904099. The next prime is 127904149. The reversal of 127904125 is 521409721.

It can be written as a sum of positive squares in 8 ways, for example, as 55756089 + 72148036 = 7467^2 + 8494^2 .

It is not a de Polignac number, because 127904125 - 2¹¹ = 127902077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5377 + ... + 16873.

It is an arithmetic number, because the mean of its divisors is an integer number (10089495).

Almost surely, 2^127904125 is an apocalyptic number.

It is an amenable number.

127904125 is a deficient number, since it is larger than the sum of its proper divisors (33527795).

127904125 is an equidigital number, since it uses as much as digits as its factorization.

127904125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11601 (or 11591 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 127904125 is about 11309.4705888472. The cubic root of 127904125 is about 503.8425604760.

The spelling of 127904125 in words is "one hundred twenty-seven million, nine hundred four thousand, one hundred twenty-five".