125089920 has 320 divisors, whose sum is σ = 473932800. Its totient is φ = 31352832.

The previous prime is 125089919. The next prime is 125089969. The reversal of 125089920 is 29980521.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984897 + ... + 985023.

It is an arithmetic number, because the mean of its divisors is an integer number (1481040).

Almost surely, 2^125089920 is an apocalyptic number.

125089920 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 125089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236966400).

125089920 is an abundant number, since it is smaller than the sum of its proper divisors (348842880).

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

125089920 is a wasteful number, since it uses less digits than its factorization.

125089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 125089920 is about 11184.3605092111. The cubic root of 125089920 is about 500.1198645960.

The spelling of 125089920 in words is "one hundred twenty-five million, eighty-nine thousand, nine hundred twenty".