36142849800 has 108 divisors (see below), whose sum is σ = 121406830935. Its totient is φ = 9635942400.

The previous prime is 36142849789. The next prime is 36142849817. The reversal of 36142849800 is 894824163.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

36142849800 is a `hidden beast` number, since 3 + 614 + 28 + 4 + 9 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 23783191524 + 12359658276 = 154218^2 + 111174^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=134430.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 8063560 + ... + 8068040.

Almost surely, 2^36142849800 is an apocalyptic number.

36142849800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36142849800

36142849800 is an abundant number, since it is smaller than the sum of its proper divisors (85263981135).

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

36142849800 is an equidigital number, since it uses as much as digits as its factorization.

36142849800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 36142849800 in words is "thirty-six billion, one hundred forty-two million, eight hundred forty-nine thousand, eight hundred".