135536349072960 has 560 divisors, whose sum is σ = 532293248596032. Its totient is φ = 32461420032000.

The previous prime is 135536349072931. The next prime is 135536349072991. The reversal of 135536349072960 is 69270943635531.

135536349072960 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 3 + 63 + 490 + 7 + 29 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20801310 + ... + 26528610.

Almost surely, 2^{135536349072960} is an apocalyptic number.

135536349072960 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 135536349072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266146624298016).

135536349072960 is an abundant number, since it is smaller than the sum of its proper divisors (396756899523072).

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

135536349072960 is a wasteful number, since it uses less digits than its factorization.

135536349072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727424 (or 5727405 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 135536349072960 in words is "one hundred thirty-five trillion, five hundred thirty-six billion, three hundred forty-nine million, seventy-two thousand, nine hundred sixty".