125625696 has 96 divisors (see below), whose sum is σ = 382330368. Its totient is φ = 35374080.

The previous prime is 125625649. The next prime is 125625707. The reversal of 125625696 is 696526521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46396 + ... + 49028.

It is an arithmetic number, because the mean of its divisors is an integer number (3982608).

Almost surely, 2^125625696 is an apocalyptic number.

125625696 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 125625696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191165184).

125625696 is an abundant number, since it is smaller than the sum of its proper divisors (256704672).

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

125625696 is a wasteful number, since it uses less digits than its factorization.

125625696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 125625696 is about 11208.2869342286. The cubic root of 125625696 is about 500.8328732074.

The spelling of 125625696 in words is "one hundred twenty-five million, six hundred twenty-five thousand, six hundred ninety-six".