135320163664 has 80 divisors (see below), whose sum is σ = 305551872000. Its totient is φ = 56855037312.

The previous prime is 135320163647. The next prime is 135320163683. The reversal of 135320163664 is 466361023531.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2397237 + ... + 2453035.

It is an arithmetic number, because the mean of its divisors is an integer number (3819398400).

Almost surely, 2^135320163664 is an apocalyptic number.

135320163664 is a gapful number since it is divisible by the number (14) 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 135320163664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152775936000).

135320163664 is an abundant number, since it is smaller than the sum of its proper divisors (170231708336).

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

135320163664 is a wasteful number, since it uses less digits than its factorization.

135320163664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56240 (or 56234 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 135320163664 in words is "one hundred thirty-five billion, three hundred twenty million, one hundred sixty-three thousand, six hundred sixty-four".