125185041 has 16 divisors (see below), whose sum is σ = 186880320. Its totient is φ = 82817280.

The previous prime is 125185033. The next prime is 125185061. The reversal of 125185041 is 140581521.

It is not a de Polignac number, because 125185041 - 2³ = 125185033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 125184996 and 125185014.

It is not an unprimeable number, because it can be changed into a prime (125185001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14160 + ... + 21233.

It is an arithmetic number, because the mean of its divisors is an integer number (11680020).

Almost surely, 2^125185041 is an apocalyptic number.

It is an amenable number.

125185041 is a deficient number, since it is larger than the sum of its proper divisors (61695279).

125185041 is a wasteful number, since it uses less digits than its factorization.

125185041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35533 (or 35527 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 125185041 is about 11188.6121123221. The cubic root of 125185041 is about 500.2465996905.

The spelling of 125185041 in words is "one hundred twenty-five million, one hundred eighty-five thousand, forty-one".