125688125 has 10 divisors (see below), whose sum is σ = 157060662. Its totient is φ = 100550000.

The previous prime is 125688107. The next prime is 125688187. The reversal of 125688125 is 521886521.

It can be written as a sum of positive squares in 5 ways, for example, as 82101721 + 43586404 = 9061^2 + 6602^2 .

It is not a de Polignac number, because 125688125 - 2¹⁰ = 125687101 is a prime.

It is a Duffinian number.

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 9 ways as a sum of consecutive naturals, for example, 99926 + ... + 101175.

Almost surely, 2^125688125 is an apocalyptic number.

It is an amenable number.

125688125 is a deficient number, since it is larger than the sum of its proper divisors (31372537).

125688125 is an frugal number, since it uses more digits than its factorization.

125688125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201121 (or 201106 counting only the distinct ones).

The product of its digits is 38400, while the sum is 38.

The square root of 125688125 is about 11211.0715366552. The cubic root of 125688125 is about 500.9158215177.

The spelling of 125688125 in words is "one hundred twenty-five million, six hundred eighty-eight thousand, one hundred twenty-five".