136183140900 has 81 divisors (see below), whose sum is σ = 426893193363. Its totient is φ = 36312552000.

The previous prime is 136183140893. The next prime is 136183140913. The reversal of 136183140900 is 9041381631.

The square root of 136183140900 is 369030.

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

136183140900 is a `hidden beast` number, since 1 + 3 + 618 + 31 + 4 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11274617124 + 124908523776 = 106182^2 + 353424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11064750 + ... + 11077050.

Almost surely, 2^136183140900 is an apocalyptic number.

136183140900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136183140900 is the 369030-th square number.

It is an amenable number.

136183140900 is an abundant number, since it is smaller than the sum of its proper divisors (290710052463).

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

136183140900 is an equidigital number, since it uses as much as digits as its factorization.

136183140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24622 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 136183140900 by its sum of digits (36), we get a square (4902593072400 = 2214180²).

136183140900 divided by its sum of digits (36) gives a square (3782865025 = 61505²).

The spelling of 136183140900 in words is "one hundred thirty-six billion, one hundred eighty-three million, one hundred forty thousand, nine hundred".