126336768 has 72 divisors (see below), whose sum is σ = 338486400. Its totient is φ = 41831424.

The previous prime is 126336751. The next prime is 126336787. The reversal of 126336768 is 867633621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137013 + ... + 137931.

It is an arithmetic number, because the mean of its divisors is an integer number (4701200).

Almost surely, 2^126336768 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 126336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169243200).

126336768 is an abundant number, since it is smaller than the sum of its proper divisors (212149632).

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

126336768 is an equidigital number, since it uses as much as digits as its factorization.

126336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1103 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 126336768 is about 11239.9629892629. The cubic root of 126336768 is about 501.7760412189.

The spelling of 126336768 in words is "one hundred twenty-six million, three hundred thirty-six thousand, seven hundred sixty-eight".