135827644992 has 112 divisors (see below), whose sum is σ = 388120615680. Its totient is φ = 41674457088.

The previous prime is 135827644987. The next prime is 135827645027. The reversal of 135827644992 is 299446728531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804009 + ... + 958167.

It is an arithmetic number, because the mean of its divisors is an integer number (3465362640).

Almost surely, 2^135827644992 is an apocalyptic number.

135827644992 is a gapful number since it is divisible by the number (12) 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 135827644992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194060307840).

135827644992 is an abundant number, since it is smaller than the sum of its proper divisors (252292970688).

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

135827644992 is a wasteful number, since it uses less digits than its factorization.

135827644992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154540 (or 154530 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 135827644992 in words is "one hundred thirty-five billion, eight hundred twenty-seven million, six hundred forty-four thousand, nine hundred ninety-two".