125751200 has 36 divisors (see below), whose sum is σ = 306992070. Its totient is φ = 50300160.

The previous prime is 125751181. The next prime is 125751211. The reversal of 125751200 is 2157521.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 93624976 + 32126224 = 9676^2 + 5668^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77795 + ... + 79394.

Almost surely, 2^125751200 is an apocalyptic number.

125751200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125751200 is an abundant number, since it is smaller than the sum of its proper divisors (181240870).

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

125751200 is a wasteful number, since it uses less digits than its factorization.

125751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157209 (or 157196 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 125751200 is about 11213.8842512307. The cubic root of 125751200 is about 500.9996002669. Note that the first 3 decimals are identical.

The spelling of 125751200 in words is "one hundred twenty-five million, seven hundred fifty-one thousand, two hundred".