125946400 has 36 divisors (see below), whose sum is σ = 307468602. Its totient is φ = 50378240.

The previous prime is 125946377. The next prime is 125946419. The reversal of 125946400 is 4649521.

It can be written as a sum of positive squares in 3 ways, for example, as 110923024 + 15023376 = 10532^2 + 3876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77917 + ... + 79516.

Almost surely, 2^125946400 is an apocalyptic number.

125946400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125946400 is an abundant number, since it is smaller than the sum of its proper divisors (181522202).

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

125946400 is a wasteful number, since it uses less digits than its factorization.

125946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157453 (or 157440 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 125946400 is about 11222.5843725944. The cubic root of 125946400 is about 501.2586953797.

The spelling of 125946400 in words is "one hundred twenty-five million, nine hundred forty-six thousand, four hundred".