126342444 has 48 divisors (see below), whose sum is σ = 306028800. Its totient is φ = 40520256.

The previous prime is 126342431. The next prime is 126342449. The reversal of 126342444 is 444243621.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (126342449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152359 + ... + 153185.

It is an arithmetic number, because the mean of its divisors is an integer number (6375600).

Almost surely, 2^126342444 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 126342444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153014400).

126342444 is an abundant number, since it is smaller than the sum of its proper divisors (179686356).

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

126342444 is a wasteful number, since it uses less digits than its factorization.

126342444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1300 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 126342444 is about 11240.2154783616. The cubic root of 126342444 is about 501.7835556272.

The spelling of 126342444 in words is "one hundred twenty-six million, three hundred forty-two thousand, four hundred forty-four".