125395200 has 324 divisors, whose sum is σ = 514008768. Its totient is φ = 28569600.

The previous prime is 125395177. The next prime is 125395211. The reversal of 125395200 is 2593521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403045 + ... + 403355.

Almost surely, 2^125395200 is an apocalyptic number.

125395200 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 125395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257004384).

125395200 is an abundant number, since it is smaller than the sum of its proper divisors (388613568).

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

125395200 is a wasteful number, since it uses less digits than its factorization.

125395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

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

The square root of 125395200 is about 11197.9998213967. Note that the first 3 decimals coincide. The cubic root of 125395200 is about 500.5263789892.

The spelling of 125395200 in words is "one hundred twenty-five million, three hundred ninety-five thousand, two hundred".