125889120 has 384 divisors, whose sum is σ = 528353280. Its totient is φ = 27371520.

The previous prime is 125889091. The next prime is 125889139. The reversal of 125889120 is 21988521.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 695430 + ... + 695610.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^125889120 is an apocalyptic number.

125889120 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 125889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

125889120 is an abundant number, since it is smaller than the sum of its proper divisors (402464160).

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

125889120 is a wasteful number, since it uses less digits than its factorization.

125889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

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

The square root of 125889120 is about 11220.0320855156. The cubic root of 125889120 is about 501.1826935993.

The spelling of 125889120 in words is "one hundred twenty-five million, eight hundred eighty-nine thousand, one hundred twenty".