135636813312 has 640 divisors, whose sum is σ = 510807306240. Its totient is φ = 30802083840.

The previous prime is 135636813281. The next prime is 135636813317. The reversal of 135636813312 is 213318636531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135636813317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29210863 + ... + 29215505.

It is an arithmetic number, because the mean of its divisors is an integer number (798136416).

Almost surely, 2^135636813312 is an apocalyptic number.

135636813312 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 135636813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255403653120).

135636813312 is an abundant number, since it is smaller than the sum of its proper divisors (375170492928).

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

135636813312 is a wasteful number, since it uses less digits than its factorization.

135636813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4698 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The spelling of 135636813312 in words is "one hundred thirty-five billion, six hundred thirty-six million, eight hundred thirteen thousand, three hundred twelve".