126041344 has 108 divisors (see below), whose sum is σ = 298765348. Its totient is φ = 52715520.

The previous prime is 126041329. The next prime is 126041353. The reversal of 126041344 is 443140621.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 119071744 = 2640^2 + 10912^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402532 + ... + 402844.

Almost surely, 2^126041344 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 126041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149382674).

126041344 is an abundant number, since it is smaller than the sum of its proper divisors (172724004).

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

126041344 is a wasteful number, since it uses less digits than its factorization.

126041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 126041344 is about 11226.8136174072. The cubic root of 126041344 is about 501.3846207779.

Adding to 126041344 its reverse (443140621), we get a palindrome (569181965).

The spelling of 126041344 in words is "one hundred twenty-six million, forty-one thousand, three hundred forty-four".