125919456 has 96 divisors (see below), whose sum is σ = 358727040. Its totient is φ = 38444544.

The previous prime is 125919413. The next prime is 125919461. The reversal of 125919456 is 654919521.

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

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, 203115 + ... + 203733.

It is an arithmetic number, because the mean of its divisors is an integer number (3736740).

Almost surely, 2^125919456 is an apocalyptic number.

125919456 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 125919456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179363520).

125919456 is an abundant number, since it is smaller than the sum of its proper divisors (232807584).

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

125919456 is a wasteful number, since it uses less digits than its factorization.

125919456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 800 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 125919456 is about 11221.3838718761. The cubic root of 125919456 is about 501.2229476925. Note that the first 3 decimals are identical.

The spelling of 125919456 in words is "one hundred twenty-five million, nine hundred nineteen thousand, four hundred fifty-six".