36126604900 has 81 divisors (see below), whose sum is σ = 79698649611. Its totient is φ = 14214194880.

The previous prime is 36126604897. The next prime is 36126604909. The reversal of 36126604900 is 940662163.

It is a happy number.

The square root of 36126604900 is 190070.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4930567524 + 31196037376 = 70218^2 + 176624^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36126604900.

It is not an unprimeable number, because it can be changed into a prime (36126604909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 157757986 + ... + 157758214.

Almost surely, 2^36126604900 is an apocalyptic number.

36126604900 is the 190070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36126604900

36126604900 is an abundant number, since it is smaller than the sum of its proper divisors (43572044711).

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

36126604900 is an equidigital number, since it uses as much as digits as its factorization.

36126604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 36126604900 in words is "thirty-six billion, one hundred twenty-six million, six hundred four thousand, nine hundred".