125881920 has 168 divisors, whose sum is σ = 438043320. Its totient is φ = 33177600.

The previous prime is 125881919. The next prime is 125881927. The reversal of 125881920 is 29188521.

It can be written as a sum of positive squares in 4 ways, for example, as 60466176 + 65415744 = 7776^2 + 8088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125881927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313720 + ... + 314120.

Almost surely, 2^125881920 is an apocalyptic number.

125881920 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 125881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219021660).

125881920 is an abundant number, since it is smaller than the sum of its proper divisors (312161400).

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

125881920 is a wasteful number, since it uses less digits than its factorization.

125881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 125881920 is about 11219.7112262304. The cubic root of 125881920 is about 501.1731386719.

The spelling of 125881920 in words is "one hundred twenty-five million, eight hundred eighty-one thousand, nine hundred twenty".