125791200 has 108 divisors (see below), whose sum is σ = 443596608. Its totient is φ = 33542400.

The previous prime is 125791189. The next prime is 125791201. The reversal of 125791200 is 2197521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125791201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1536 + ... + 15935.

It is an arithmetic number, because the mean of its divisors is an integer number (4107376).

Almost surely, 2^125791200 is an apocalyptic number.

125791200 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 125791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

125791200 is an abundant number, since it is smaller than the sum of its proper divisors (317805408).

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

125791200 is a wasteful number, since it uses less digits than its factorization.

125791200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17497 (or 17481 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 125791200 is about 11215.6676127639. The cubic root of 125791200 is about 501.0527153586.

The spelling of 125791200 in words is "one hundred twenty-five million, seven hundred ninety-one thousand, two hundred".