125583300 has 54 divisors (see below), whose sum is σ = 393636698. Its totient is φ = 33488640.

The previous prime is 125583277. The next prime is 125583313. The reversal of 125583300 is 3385521.

It can be written as a sum of positive squares in 3 ways, for example, as 17589636 + 107993664 = 4194^2 + 10392^2 .

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 17 ways as a sum of consecutive naturals, for example, 68869 + ... + 70668.

Almost surely, 2^125583300 is an apocalyptic number.

125583300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125583300 is an abundant number, since it is smaller than the sum of its proper divisors (268053398).

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

125583300 is a wasteful number, since it uses less digits than its factorization.

125583300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139557 (or 139547 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125583300 is about 11206.3954954303. The cubic root of 125583300 is about 500.7765267215.

The spelling of 125583300 in words is "one hundred twenty-five million, five hundred eighty-three thousand, three hundred".