126585126 has 64 divisors (see below), whose sum is σ = 289981440. Its totient is φ = 40914720.

The previous prime is 126585089. The next prime is 126585127. The reversal of 126585126 is 621585621.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126585127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 273171 + ... + 273633.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2^126585126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126585126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144990720).

126585126 is an abundant number, since it is smaller than the sum of its proper divisors (163396314).

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

126585126 is a wasteful number, since it uses less digits than its factorization.

126585126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 126585126 is about 11251.0055550604. The cubic root of 126585126 is about 502.1046299689.

The spelling of 126585126 in words is "one hundred twenty-six million, five hundred eighty-five thousand, one hundred twenty-six".