125988480 has 256 divisors, whose sum is σ = 467078400. Its totient is φ = 32034816.

The previous prime is 125988463. The next prime is 125988491. The reversal of 125988480 is 84889521.

It is a happy number.

125988480 is a `hidden beast` number, since 12 + 598 + 8 + 48 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 397282 + ... + 397598.

It is an arithmetic number, because the mean of its divisors is an integer number (1824525).

Almost surely, 2^125988480 is an apocalyptic number.

125988480 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 125988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233539200).

125988480 is an abundant number, since it is smaller than the sum of its proper divisors (341089920).

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

125988480 is a wasteful number, since it uses less digits than its factorization.

125988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

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

The square root of 125988480 is about 11224.4590070079. The cubic root of 125988480 is about 501.3145144085.

The spelling of 125988480 in words is "one hundred twenty-five million, nine hundred eighty-eight thousand, four hundred eighty".