125568640 has 32 divisors (see below), whose sum is σ = 300189060. Its totient is φ = 50227200.

The previous prime is 125568629. The next prime is 125568659. The reversal of 125568640 is 46865521.

It can be written as a sum of positive squares in 2 ways, for example, as 120297024 + 5271616 = 10968^2 + 2296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 125568640.

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 3 ways as a sum of consecutive naturals, for example, 97461 + ... + 98740.

Almost surely, 2^125568640 is an apocalyptic number.

125568640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125568640 is an abundant number, since it is smaller than the sum of its proper divisors (174620420).

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

125568640 is an equidigital number, since it uses as much as digits as its factorization.

125568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196220 (or 196208 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 125568640 is about 11205.7413855577. The cubic root of 125568640 is about 500.7570398694.

The spelling of 125568640 in words is "one hundred twenty-five million, five hundred sixty-eight thousand, six hundred forty".