125539200 has 192 divisors, whose sum is σ = 459754800. Its totient is φ = 33454080.

The previous prime is 125539157. The next prime is 125539201. The reversal of 125539200 is 2935521.

125539200 is a `hidden beast` number, since 125 + 539 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125539201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85674 + ... + 87126.

Almost surely, 2^125539200 is an apocalyptic number.

125539200 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 125539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229877400).

125539200 is an abundant number, since it is smaller than the sum of its proper divisors (334215600).

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

125539200 is a wasteful number, since it uses less digits than its factorization.

125539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 125539200 is about 11204.4276962280. The cubic root of 125539200 is about 500.7179020732.

The spelling of 125539200 in words is "one hundred twenty-five million, five hundred thirty-nine thousand, two hundred".