125261136 has 360 divisors, whose sum is σ = 480247040. Its totient is φ = 29652480.

The previous prime is 125261119. The next prime is 125261161. The reversal of 125261136 is 631162521.

125261136 is a `hidden beast` number, since 1 + 2 + 526 + 1 + 136 = 666.

Its product of digits (2160) is a multiple of the sum of its prime factors (135).

It is a nialpdrome in base 16.

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, 1585545 + ... + 1585623.

Almost surely, 2^125261136 is an apocalyptic number.

125261136 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 125261136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240123520).

125261136 is an abundant number, since it is smaller than the sum of its proper divisors (354985904).

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

125261136 is a wasteful number, since it uses less digits than its factorization.

125261136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 125261136 is about 11192.0121515302. The cubic root of 125261136 is about 500.3479391539.

The spelling of 125261136 in words is "one hundred twenty-five million, two hundred sixty-one thousand, one hundred thirty-six".