36082149200 has 60 divisors (see below), whose sum is σ = 86723004060. Its totient is φ = 14426926080.

The previous prime is 36082149199. The next prime is 36082149211. The reversal of 36082149200 is 294128063.

It can be written as a sum of positive squares in 6 ways, for example, as 1791998224 + 34290150976 = 42332^2 + 185176^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1029566 + ... + 1064034.

It is an arithmetic number, because the mean of its divisors is an integer number (1445383401).

Almost surely, 2^36082149200 is an apocalyptic number.

It is an amenable number.

36082149200 is an abundant number, since it is smaller than the sum of its proper divisors (50640854860).

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

36082149200 is a wasteful number, since it uses less digits than its factorization.

36082149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37104 (or 37093 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 36082149200 in words is "thirty-six billion, eighty-two million, one hundred forty-nine thousand, two hundred".