126082746 has 48 divisors (see below), whose sum is σ = 289355040. Its totient is φ = 39566880.

The previous prime is 126082709. The next prime is 126082769. The reversal of 126082746 is 647280621.

126082746 is a `hidden beast` number, since 1 + 2 + 608 + 2 + 7 + 46 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126082746.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58101 + ... + 60231.

It is an arithmetic number, because the mean of its divisors is an integer number (6028230).

Almost surely, 2^126082746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126082746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144677520).

126082746 is an abundant number, since it is smaller than the sum of its proper divisors (163272294).

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

126082746 is a wasteful number, since it uses less digits than its factorization.

126082746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126082746 is about 11228.6573551783. The cubic root of 126082746 is about 501.4395129609.

The spelling of 126082746 in words is "one hundred twenty-six million, eighty-two thousand, seven hundred forty-six".