125844992 has 160 divisors (see below), whose sum is σ = 322187712. Its totient is φ = 47775744.

The previous prime is 125844989. The next prime is 125845009. The reversal of 125844992 is 299448521.

It is a super-2 number, since 2×125844992² = 31673924022960128, which contains 22 as substring.

It is a zygodrome in base 2.

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, 1723868 + ... + 1723940.

Almost surely, 2^125844992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161093856).

125844992 is an abundant number, since it is smaller than the sum of its proper divisors (196342720).

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

125844992 is an equidigital number, since it uses as much as digits as its factorization.

125844992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 125844992 is about 11218.0654303672. The cubic root of 125844992 is about 501.1241267839.

It can be divided in two parts, 12584 and 4992, that added together give a cube (17576 = 26³).

The spelling of 125844992 in words is "one hundred twenty-five million, eight hundred forty-four thousand, nine hundred ninety-two".