125988840 has 96 divisors (see below), whose sum is σ = 411301800. Its totient is φ = 33446400.

The previous prime is 125988833. The next prime is 125988893. The reversal of 125988840 is 48889521.

It is a happy number.

125988840 is a `hidden beast` number, since 12 + 598 + 8 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25948836 + 100040004 = 5094^2 + 10002^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96190 + ... + 97490.

Almost surely, 2^125988840 is an apocalyptic number.

125988840 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 125988840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205650900).

125988840 is an abundant number, since it is smaller than the sum of its proper divisors (285312960).

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

125988840 is a wasteful number, since it uses less digits than its factorization.

125988840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 125988840 is about 11224.4750434040. The cubic root of 125988840 is about 501.3149918941.

The spelling of 125988840 in words is "one hundred twenty-five million, nine hundred eighty-eight thousand, eight hundred forty".