36142241600 has 84 divisors (see below), whose sum is σ = 90151048044. Its totient is φ = 14258810880.

The previous prime is 36142241581. The next prime is 36142241623. The reversal of 36142241600 is 614224163.

It can be written as a sum of positive squares in 6 ways, for example, as 78712384 + 36063529216 = 8872^2 + 189904^2 .

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, 37919 + ... + 271518.

Almost surely, 2^36142241600 is an apocalyptic number.

It is an amenable number.

36142241600 is an abundant number, since it is smaller than the sum of its proper divisors (54008806444).

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

36142241600 is a wasteful number, since it uses less digits than its factorization.

36142241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309532 (or 309517 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 36142241600 its reverse (614224163), we get a palindrome (36756465763).

The spelling of 36142241600 in words is "thirty-six billion, one hundred forty-two million, two hundred forty-one thousand, six hundred".