125949456 has 120 divisors (see below), whose sum is σ = 363976704. Its totient is φ = 40642560.

The previous prime is 125949437. The next prime is 125949469. The reversal of 125949456 is 654949521.

125949456 is a `hidden beast` number, since 1 + 2 + 594 + 9 + 4 + 56 = 666.

Its product of digits (388800) is a multiple of the sum of its prime divisors (300).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991665 + ... + 991791.

Almost surely, 2^125949456 is an apocalyptic number.

125949456 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 125949456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

125949456 is an abundant number, since it is smaller than the sum of its proper divisors (238027248).

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

125949456 is a wasteful number, since it uses less digits than its factorization.

125949456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

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

The square root of 125949456 is about 11222.7205257905. The cubic root of 125949456 is about 501.2627495757.

The spelling of 125949456 in words is "one hundred twenty-five million, nine hundred forty-nine thousand, four hundred fifty-six".