126544544 has 48 divisors (see below), whose sum is σ = 285643008. Its totient is φ = 54058752.

The previous prime is 126544529. The next prime is 126544591. The reversal of 126544544 is 445445621.

126544544 = 292² + 293² + ... + 739².

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, 88217 + ... + 89639.

It is an arithmetic number, because the mean of its divisors is an integer number (5950896).

Almost surely, 2^126544544 is an apocalyptic number.

126544544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126544544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142821504).

126544544 is an abundant number, since it is smaller than the sum of its proper divisors (159098464).

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

126544544 is a wasteful number, since it uses less digits than its factorization.

126544544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1829 counting only the distinct ones).

The product of its digits is 76800, while the sum is 35.

The square root of 126544544 is about 11249.2019272480. The cubic root of 126544544 is about 502.0509675610.

The spelling of 126544544 in words is "one hundred twenty-six million, five hundred forty-four thousand, five hundred forty-four".