125029968 has 240 divisors, whose sum is σ = 412205760. Its totient is φ = 32428032.

The previous prime is 125029907. The next prime is 125029981. The reversal of 125029968 is 869920521.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2119123 + ... + 2119181.

It is an arithmetic number, because the mean of its divisors is an integer number (1717524).

Almost surely, 2^125029968 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 125029968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206102880).

125029968 is an abundant number, since it is smaller than the sum of its proper divisors (287175792).

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

125029968 is a wasteful number, since it uses less digits than its factorization.

125029968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 125029968 is about 11181.6800168848. The cubic root of 125029968 is about 500.0399541406.

The spelling of 125029968 in words is "one hundred twenty-five million, twenty-nine thousand, nine hundred sixty-eight".