125970900 has 144 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 29974400.

The previous prime is 125970881. The next prime is 125970913. The reversal of 125970900 is 9079521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194377 + ... + 195023.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^125970900 is an apocalyptic number.

125970900 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 125970900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

125970900 is an abundant number, since it is smaller than the sum of its proper divisors (279003180).

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

125970900 is a wasteful number, since it uses less digits than its factorization.

125970900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 125970900 is about 11223.6758684488. The cubic root of 125970900 is about 501.2911960884.

The spelling of 125970900 in words is "one hundred twenty-five million, nine hundred seventy thousand, nine hundred".