125305600 has 108 divisors (see below), whose sum is σ = 354584944. Its totient is φ = 42946560.

The previous prime is 125305597. The next prime is 125305639. The reversal of 125305600 is 6503521.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43402 + ... + 46198.

Almost surely, 2^125305600 is an apocalyptic number.

125305600 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 125305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292472).

125305600 is an abundant number, since it is smaller than the sum of its proper divisors (229279344).

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

125305600 is an equidigital number, since it uses as much as digits as its factorization.

125305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 125305600 is about 11193.9983919956. The cubic root of 125305600 is about 500.4071350588.

The spelling of 125305600 in words is "one hundred twenty-five million, three hundred five thousand, six hundred".