125853696 has 112 divisors (see below), whose sum is σ = 373532400. Its totient is φ = 41877504.

The previous prime is 125853691. The next prime is 125853697. The reversal of 125853696 is 696358521.

125853696 is a `hidden beast` number, since 1 + 2 + 585 + 3 + 69 + 6 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125853691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220900 + ... + 221468.

Almost surely, 2^125853696 is an apocalyptic number.

125853696 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 125853696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186766200).

125853696 is an abundant number, since it is smaller than the sum of its proper divisors (247678704).

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

125853696 is an frugal number, since it uses more digits than its factorization.

125853696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 574 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 125853696 is about 11218.4533693375. The cubic root of 125853696 is about 501.1356798429.

The spelling of 125853696 in words is "one hundred twenty-five million, eight hundred fifty-three thousand, six hundred ninety-six".