125827200 has 288 divisors, whose sum is σ = 477240660. Its totient is φ = 31457280.

The previous prime is 125827153. The next prime is 125827211. The reversal of 125827200 is 2728521.

125827200 is a `hidden beast` number, since 12 + 582 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 102090816 + 23736384 = 10104^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489472 + ... + 489728.

Almost surely, 2^125827200 is an apocalyptic number.

125827200 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 125827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238620330).

125827200 is an abundant number, since it is smaller than the sum of its proper divisors (351413460).

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

125827200 is a wasteful number, since it uses less digits than its factorization.

125827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 125827200 is about 11217.2723957297. The cubic root of 125827200 is about 501.1005093147.

The spelling of 125827200 in words is "one hundred twenty-five million, eight hundred twenty-seven thousand, two hundred".