125766256 has 160 divisors (see below), whose sum is σ = 325693440. Its totient is φ = 45619200.

The previous prime is 125766253. The next prime is 125766257. The reversal of 125766256 is 652667521.

It is a super-2 number, since 2×125766256² = 31634302296515072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125766253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1413060 + ... + 1413148.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 2^125766256 is an apocalyptic number.

125766256 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 125766256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

125766256 is an abundant number, since it is smaller than the sum of its proper divisors (199927184).

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

125766256 is a wasteful number, since it uses less digits than its factorization.

125766256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 125766256 is about 11214.5555417948. Note that the first 4 decimals coincide. The cubic root of 125766256 is about 501.0195941091.

The spelling of 125766256 in words is "one hundred twenty-five million, seven hundred sixty-six thousand, two hundred fifty-six".