125084157 has 16 divisors (see below), whose sum is σ = 183746880. Its totient is φ = 75056000.

The previous prime is 125084123. The next prime is 125084191. The reversal of 125084157 is 751480521.

It is an interprime number because it is at equal distance from previous prime (125084123) and next prime (125084191).

It is a cyclic number.

It is not a de Polignac number, because 125084157 - 2⁸ = 125083901 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125084357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15432 + ... + 22097.

It is an arithmetic number, because the mean of its divisors is an integer number (11484180).

Almost surely, 2^125084157 is an apocalyptic number.

It is an amenable number.

125084157 is a deficient number, since it is larger than the sum of its proper divisors (58662723).

125084157 is a wasteful number, since it uses less digits than its factorization.

125084157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37644.

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 125084157 is about 11184.1028696986. The cubic root of 125084157 is about 500.1121841609.

The spelling of 125084157 in words is "one hundred twenty-five million, eighty-four thousand, one hundred fifty-seven".