135505502110160 has 640 divisors, whose sum is σ = 418335224832000. Its totient is φ = 39657477242880.

The previous prime is 135505502110159. The next prime is 135505502110169. The reversal of 135505502110160 is 61011205505531.

It is a super-2 number, since 2×135505502110160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 135505502110160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135505502110169) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 634731116 + ... + 634944564.

It is an arithmetic number, because the mean of its divisors is an integer number (653648788800).

Almost surely, 2^{135505502110160} is an apocalyptic number.

135505502110160 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 135505502110160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209167612416000).

135505502110160 is an abundant number, since it is smaller than the sum of its proper divisors (282829722721840).

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

135505502110160 is a wasteful number, since it uses less digits than its factorization.

135505502110160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213639 (or 213633 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

Adding to 135505502110160 its reverse (61011205505531), we get a palindrome (196516707615691).

The spelling of 135505502110160 in words is "one hundred thirty-five trillion, five hundred five billion, five hundred two million, one hundred ten thousand, one hundred sixty".