125288856 has 288 divisors, whose sum is σ = 453473280. Its totient is φ = 31492800.

The previous prime is 125288773. The next prime is 125288879. The reversal of 125288856 is 658882521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4041561 + ... + 4041591.

It is an arithmetic number, because the mean of its divisors is an integer number (1574560).

Almost surely, 2^125288856 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 125288856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226736640).

125288856 is an abundant number, since it is smaller than the sum of its proper divisors (328184424).

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

125288856 is an equidigital number, since it uses as much as digits as its factorization.

125288856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 125288856 is about 11193.2504662408. The cubic root of 125288856 is about 500.3848450459.

The spelling of 125288856 in words is "one hundred twenty-five million, two hundred eighty-eight thousand, eight hundred fifty-six".