1800512135136 has 144 divisors (see below), whose sum is σ = 6015347498160. Its totient is φ = 503639746560.

The previous prime is 1800512135087. The next prime is 1800512135159. The reversal of 1800512135136 is 6315312150081.

It is a happy number.

1800512135136 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 512 + 1 + 3 + 5 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1800512135136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21818181 + ... + 21900548.

It is an arithmetic number, because the mean of its divisors is an integer number (41773246515).

Almost surely, 2^{1800512135136} is an apocalyptic number.

1800512135136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1800512135136 is an abundant number, since it is smaller than the sum of its proper divisors (4214835363024).

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

1800512135136 is a wasteful number, since it uses less digits than its factorization.

1800512135136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43718769 (or 43718758 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1800512135136 in words is "one trillion, eight hundred billion, five hundred twelve million, one hundred thirty-five thousand, one hundred thirty-six".