125827296 has 144 divisors (see below), whose sum is σ = 401272704. Its totient is φ = 34358016.

The previous prime is 125827279. The next prime is 125827301. The reversal of 125827296 is 692728521.

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 23 ways as a sum of consecutive naturals, for example, 107611 + ... + 108773.

It is an arithmetic number, because the mean of its divisors is an integer number (2786616).

Almost surely, 2^125827296 is an apocalyptic number.

125827296 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 125827296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200636352).

125827296 is an abundant number, since it is smaller than the sum of its proper divisors (275445408).

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

125827296 is a wasteful number, since it uses less digits than its factorization.

125827296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1198 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 125827296 is about 11217.2766748440. The cubic root of 125827296 is about 501.1006367531.

The spelling of 125827296 in words is "one hundred twenty-five million, eight hundred twenty-seven thousand, two hundred ninety-six".