125700960 has 384 divisors, whose sum is σ = 522547200. Its totient is φ = 24606720.

The previous prime is 125700947. The next prime is 125701033. The reversal of 125700960 is 69007521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 702151 + ... + 702329.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^125700960 is an apocalyptic number.

125700960 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 125700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

125700960 is an abundant number, since it is smaller than the sum of its proper divisors (396846240).

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

125700960 is a wasteful number, since it uses less digits than its factorization.

125700960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 125700960 is about 11211.6439472541. The cubic root of 125700960 is about 500.9328717515.

The spelling of 125700960 in words is "one hundred twenty-five million, seven hundred thousand, nine hundred sixty".