125851920 has 80 divisors (see below), whose sum is σ = 393308160. Its totient is φ = 33288192.

The previous prime is 125851871. The next prime is 125851931. The reversal of 125851920 is 29158521.

It is a tau number, because it is divible by the number of its divisors (80).

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, 28416 + ... + 32544.

It is an arithmetic number, because the mean of its divisors is an integer number (4916352).

Almost surely, 2^125851920 is an apocalyptic number.

125851920 is a gapful number since it is divisible by the number (10) 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 125851920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196654080).

125851920 is an abundant number, since it is smaller than the sum of its proper divisors (267456240).

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

125851920 is a wasteful number, since it uses less digits than its factorization.

125851920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 125851920 is about 11218.3742137620. The cubic root of 125851920 is about 501.1333225524.

The spelling of 125851920 in words is "one hundred twenty-five million, eight hundred fifty-one thousand, nine hundred twenty".