126289125 has 40 divisors (see below), whose sum is σ = 235459224. Its totient is φ = 67348800.

The previous prime is 126289117. The next prime is 126289147. The reversal of 126289125 is 521982621.

126289125 is a `hidden beast` number, since 1 + 2 + 628 + 9 + 1 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1542564 + 124746561 = 1242^2 + 11169^2 .

It is not a de Polignac number, because 126289125 - 2³ = 126289117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126289125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3889 + ... + 16361.

Almost surely, 2^126289125 is an apocalyptic number.

126289125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126289125 is a deficient number, since it is larger than the sum of its proper divisors (109170099).

126289125 is an equidigital number, since it uses as much as digits as its factorization.

126289125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500 (or 12481 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 126289125 is about 11237.8434319045. The cubic root of 126289125 is about 501.7129581803.

The spelling of 126289125 in words is "one hundred twenty-six million, two hundred eighty-nine thousand, one hundred twenty-five".