125368896 has 56 divisors (see below), whose sum is σ = 333898240. Its totient is φ = 41513472.

The previous prime is 125368879. The next prime is 125368907. The reversal of 125368896 is 698863521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28065 + ... + 32223.

Almost surely, 2^125368896 is an apocalyptic number.

125368896 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 125368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166949120).

125368896 is an abundant number, since it is smaller than the sum of its proper divisors (208529344).

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

125368896 is a wasteful number, since it uses less digits than its factorization.

125368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4321 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 125368896 is about 11196.8252643327. The cubic root of 125368896 is about 500.4913782699.

The spelling of 125368896 in words is "one hundred twenty-five million, three hundred sixty-eight thousand, eight hundred ninety-six".