125356896 has 288 divisors, whose sum is σ = 440294400. Its totient is φ = 35054208.

The previous prime is 125356853. The next prime is 125356909. The reversal of 125356896 is 698653521.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2667145 + ... + 2667191.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^125356896 is an apocalyptic number.

125356896 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 125356896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

125356896 is an abundant number, since it is smaller than the sum of its proper divisors (314937504).

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

125356896 is an frugal number, since it uses more digits than its factorization.

125356896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

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

The square root of 125356896 is about 11196.2893853276. The cubic root of 125356896 is about 500.4754091623.

The spelling of 125356896 in words is "one hundred twenty-five million, three hundred fifty-six thousand, eight hundred ninety-six".