125752200 has 192 divisors, whose sum is σ = 452352000. Its totient is φ = 28304640.

The previous prime is 125752181. The next prime is 125752217. The reversal of 125752200 is 2257521.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 331611 + ... + 331989.

It is an arithmetic number, because the mean of its divisors is an integer number (2356000).

Almost surely, 2^125752200 is an apocalyptic number.

125752200 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 125752200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226176000).

125752200 is an abundant number, since it is smaller than the sum of its proper divisors (326599800).

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

125752200 is a wasteful number, since it uses less digits than its factorization.

125752200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 125752200 is about 11213.9288387255. The cubic root of 125752200 is about 501.0009282814. Note that the first 3 decimals are identical.

The spelling of 125752200 in words is "one hundred twenty-five million, seven hundred fifty-two thousand, two hundred".