125856 has 72 divisors (see below), whose sum is σ = 393120. Its totient is φ = 38016.

The previous prime is 125821. The next prime is 125863. The reversal of 125856 is 658521.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5461 + ... + 5483.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2¹²⁵⁸⁵⁶ is an apocalyptic number.

125856 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 125856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

125856 is an abundant number, since it is smaller than the sum of its proper divisors (267264).

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

125856 is a wasteful number, since it uses less digits than its factorization.

125856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 125856 is about 354.7618919783. The cubic root of 125856 is about 50.1138737916.

The spelling of 125856 in words is "one hundred twenty-five thousand, eight hundred fifty-six".