126382564 has 81 divisors (see below), whose sum is σ = 286721001. Its totient is φ = 48565440.

The previous prime is 126382537. The next prime is 126382579. The reversal of 126382564 is 465283621.

The square root of 126382564 is 11242.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 71740900 + 54641664 = 8470^2 + 7392^2 .

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 26 ways as a sum of consecutive naturals, for example, 1731232 + ... + 1731304.

Almost surely, 2^126382564 is an apocalyptic number.

126382564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

126382564 is the 11242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126382564

126382564 is an abundant number, since it is smaller than the sum of its proper divisors (160338437).

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

126382564 is a wasteful number, since it uses less digits than its factorization.

126382564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The cubic root of 126382564 is about 501.8366637384.

The spelling of 126382564 in words is "one hundred twenty-six million, three hundred eighty-two thousand, five hundred sixty-four".