135332341644864 has 336 divisors, whose sum is σ = 449732808480768. Its totient is φ = 35159325087744.

The previous prime is 135332341644839. The next prime is 135332341645009. The reversal of 135332341644864 is 468446143233531.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10771689 + ... + 19664535.

Almost surely, 2^{135332341644864} is an apocalyptic number.

135332341644864 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 135332341644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224866404240384).

135332341644864 is an abundant number, since it is smaller than the sum of its proper divisors (314400466835904).

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

135332341644864 is a wasteful number, since it uses less digits than its factorization.

135332341644864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892962 (or 8892939 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 57.

The spelling of 135332341644864 in words is "one hundred thirty-five trillion, three hundred thirty-two billion, three hundred forty-one million, six hundred forty-four thousand, eight hundred sixty-four".