125962560 has 224 divisors, whose sum is σ = 453542400. Its totient is φ = 32901120.

The previous prime is 125962549. The next prime is 125962561. The reversal of 125962560 is 65269521.

125962560 is a `hidden beast` number, since 1 + 2 + 5 + 96 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125962561) 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, 526921 + ... + 527159.

Almost surely, 2^125962560 is an apocalyptic number.

125962560 is a gapful number since it is divisible by the number (10) 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 125962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226771200).

125962560 is an abundant number, since it is smaller than the sum of its proper divisors (327579840).

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

125962560 is a wasteful number, since it uses less digits than its factorization.

125962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 125962560 is about 11223.3043262668. The cubic root of 125962560 is about 501.2801330550.

The spelling of 125962560 in words is "one hundred twenty-five million, nine hundred sixty-two thousand, five hundred sixty".