135065223102656 has 168 divisors, whose sum is σ = 340147413940032. Its totient is φ = 52618870080000.

The previous prime is 135065223102571. The next prime is 135065223102697. The reversal of 135065223102656 is 656201322560531.

It is a super-2 number, since 2×135065223102656² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135065223102656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483183731 + ... + 483463181.

Almost surely, 2^{135065223102656} is an apocalyptic number.

135065223102656 is a gapful number since it is divisible by the number (16) 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 135065223102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170073706970016).

135065223102656 is an abundant number, since it is smaller than the sum of its proper divisors (205082190837376).

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

135065223102656 is a wasteful number, since it uses less digits than its factorization.

135065223102656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293499 (or 293482 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 135065223102656 in words is "one hundred thirty-five trillion, sixty-five billion, two hundred twenty-three million, one hundred two thousand, six hundred fifty-six".