125570304 has 144 divisors (see below), whose sum is σ = 382146240. Its totient is φ = 40642560.

The previous prime is 125570257. The next prime is 125570309. The reversal of 125570304 is 403075521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125570309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 255499 + ... + 255989.

Almost surely, 2^125570304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125570304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191073120).

125570304 is an abundant number, since it is smaller than the sum of its proper divisors (256575936).

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

125570304 is an equidigital number, since it uses as much as digits as its factorization.

125570304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 125570304 is about 11205.8156329649. The cubic root of 125570304 is about 500.7592518231.

The spelling of 125570304 in words is "one hundred twenty-five million, five hundred seventy thousand, three hundred four".