125767296 has 128 divisors (see below), whose sum is σ = 375196800. Its totient is φ = 41472000.

The previous prime is 125767277. The next prime is 125767331. The reversal of 125767296 is 692767521.

125767296 is a `hidden beast` number, since 1 + 2 + 576 + 72 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521736 + ... + 521976.

It is an arithmetic number, because the mean of its divisors is an integer number (2931225).

Almost surely, 2^125767296 is an apocalyptic number.

125767296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125767296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187598400).

125767296 is an abundant number, since it is smaller than the sum of its proper divisors (249429504).

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

125767296 is a wasteful number, since it uses less digits than its factorization.

125767296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 397 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 125767296 is about 11214.6019100100. The cubic root of 125767296 is about 501.0209751339.

The spelling of 125767296 in words is "one hundred twenty-five million, seven hundred sixty-seven thousand, two hundred ninety-six".