135298997508096 has 288 divisors, whose sum is σ = 395715451950000. Its totient is φ = 44529364303872.

The previous prime is 135298997508071. The next prime is 135298997508163. The reversal of 135298997508096 is 690805799892531.

135298997508096 is a `hidden beast` number, since 1 + 3 + 5 + 29 + 89 + 9 + 7 + 508 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 2614498030 + ... + 2614549778.

Almost surely, 2^{135298997508096} is an apocalyptic number.

135298997508096 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 135298997508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197857725975000).

135298997508096 is an abundant number, since it is smaller than the sum of its proper divisors (260416454441904).

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

135298997508096 is a wasteful number, since it uses less digits than its factorization.

135298997508096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53569 (or 53546 counting only the distinct ones).

The product of its (nonzero) digits is 2645395200, while the sum is 81.

The spelling of 135298997508096 in words is "one hundred thirty-five trillion, two hundred ninety-eight billion, nine hundred ninety-seven million, five hundred eight thousand, ninety-six".