126709312 has 56 divisors (see below), whose sum is σ = 262129016. Its totient is φ = 60715008.

The previous prime is 126709301. The next prime is 126709333. The reversal of 126709312 is 213907621.

It can be written as a sum of positive squares in 4 ways, for example, as 86564416 + 40144896 = 9304^2 + 6336^2 .

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 7 ways as a sum of consecutive naturals, for example, 172498 + ... + 173230.

Almost surely, 2^126709312 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 126709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131064508).

126709312 is an abundant number, since it is smaller than the sum of its proper divisors (135419704).

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

126709312 is an equidigital number, since it uses as much as digits as its factorization.

126709312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 126709312 is about 11256.5230866374. The cubic root of 126709312 is about 502.2687724391.

The spelling of 126709312 in words is "one hundred twenty-six million, seven hundred nine thousand, three hundred twelve".