135022217718960 has 1920 divisors, whose sum is σ = 561188481638400. Its totient is φ = 29571588034560.

The previous prime is 135022217718929. The next prime is 135022217719001. The reversal of 135022217718960 is 69817712220531.

135022217718960 is a `hidden beast` number, since 1 + 3 + 502 + 2 + 2 + 1 + 7 + 71 + 8 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 135022217718897 and 135022217718906.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43852618701 + ... + 43852621779.

It is an arithmetic number, because the mean of its divisors is an integer number (292285667520).

Almost surely, 2^{135022217718960} is an apocalyptic number.

135022217718960 is a gapful number since it is divisible by the number (10) 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 135022217718960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280594240819200).

135022217718960 is an abundant number, since it is smaller than the sum of its proper divisors (426166263919440).

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

135022217718960 is a wasteful number, since it uses less digits than its factorization.

135022217718960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 135022217718960 in words is "one hundred thirty-five trillion, twenty-two billion, two hundred seventeen million, seven hundred eighteen thousand, nine hundred sixty".