125136825 has 24 divisors (see below), whose sum is σ = 225702816. Its totient is φ = 60672000.

The previous prime is 125136799. The next prime is 125136829. The reversal of 125136825 is 528631521.

It is not a de Polignac number, because 125136825 - 2¹⁴ = 125120441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (125136829) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75016 + ... + 76665.

It is an arithmetic number, because the mean of its divisors is an integer number (9404284).

Almost surely, 2^125136825 is an apocalyptic number.

125136825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125136825 is a deficient number, since it is larger than the sum of its proper divisors (100565991).

125136825 is a wasteful number, since it uses less digits than its factorization.

125136825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151705 (or 151700 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 125136825 is about 11186.4572139708. The cubic root of 125136825 is about 500.1823668099.

The spelling of 125136825 in words is "one hundred twenty-five million, one hundred thirty-six thousand, eight hundred twenty-five".