125167168 has 84 divisors (see below), whose sum is σ = 291876480. Its totient is φ = 53098752.

The previous prime is 125167153. The next prime is 125167169. The reversal of 125167168 is 861761521.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (125167169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523593 + ... + 523831.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2^125167168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

125167168 is an abundant number, since it is smaller than the sum of its proper divisors (166709312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125167168 is a wasteful number, since it uses less digits than its factorization.

125167168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its digits is 20160, while the sum is 37.

The square root of 125167168 is about 11187.8133699128. The cubic root of 125167168 is about 500.2227913799. Note that the first 3 decimals are identical.

The spelling of 125167168 in words is "one hundred twenty-five million, one hundred sixty-seven thousand, one hundred sixty-eight".