135505502110098 has 240 divisors, whose sum is σ = 315795027068928. Its totient is φ = 43426527667200.

The previous prime is 135505502110007. The next prime is 135505502110159. The reversal of 135505502110098 is 890011205505531.

135505502110098 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 0 + 550 + 2 + 1 + 1 + 0 + 0 + 98 = 666.

135505502110098 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×135505502110098³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15681687858 + ... + 15681696498.

Almost surely, 2^{135505502110098} is an apocalyptic number.

135505502110098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135505502110098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157897513534464).

135505502110098 is an abundant number, since it is smaller than the sum of its proper divisors (180289524958830).

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

135505502110098 is a wasteful number, since it uses less digits than its factorization.

135505502110098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9363 (or 9323 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 45.

The spelling of 135505502110098 in words is "one hundred thirty-five trillion, five hundred five billion, five hundred two million, one hundred ten thousand, ninety-eight".