125981856 has 576 divisors, whose sum is σ = 528353280. Its totient is φ = 27371520.

The previous prime is 125981851. The next prime is 125981857. The reversal of 125981856 is 658189521.

It is a happy number.

125981856 is a `hidden beast` number, since 1 + 2 + 598 + 1 + 8 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125981851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5477461 + ... + 5477483.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^125981856 is an apocalyptic number.

125981856 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 125981856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

125981856 is an abundant number, since it is smaller than the sum of its proper divisors (402371424).

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

125981856 is a wasteful number, since it uses less digits than its factorization.

125981856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 125981856 is about 11224.1639332291. The cubic root of 125981856 is about 501.3057285112.

The spelling of 125981856 in words is "one hundred twenty-five million, nine hundred eighty-one thousand, eight hundred fifty-six".