135136017608320 has 128 divisors (see below), whose sum is σ = 324440088033600. Its totient is φ = 53823469240320.

The previous prime is 135136017608261. The next prime is 135136017608323. The reversal of 135136017608320 is 23806710631531.

135136017608320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (135136017608323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360192887 + ... + 1360292233.

Almost surely, 2^{135136017608320} is an apocalyptic number.

135136017608320 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 135136017608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162220044016800).

135136017608320 is an abundant number, since it is smaller than the sum of its proper divisors (189304070425280).

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

135136017608320 is an equidigital number, since it uses as much as digits as its factorization.

135136017608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108426 (or 108414 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 135136017608320 in words is "one hundred thirty-five trillion, one hundred thirty-six billion, seventeen million, six hundred eight thousand, three hundred twenty".