135160617118080 has 512 divisors, whose sum is σ = 443949121797120. Its totient is φ = 34951517798400.

The previous prime is 135160617118063. The next prime is 135160617118097. The reversal of 135160617118080 is 80811716061531.

It is an interprime number because it is at equal distance from previous prime (135160617118063) and next prime (135160617118097).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49856367925 + ... + 49856370635.

It is an arithmetic number, because the mean of its divisors is an integer number (867088128510).

Almost surely, 2^{135160617118080} is an apocalyptic number.

135160617118080 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 135160617118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221974560898560).

135160617118080 is an abundant number, since it is smaller than the sum of its proper divisors (308788504679040).

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

135160617118080 is a wasteful number, since it uses less digits than its factorization.

135160617118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 135160617118080 in words is "one hundred thirty-five trillion, one hundred sixty billion, six hundred seventeen million, one hundred eighteen thousand, eighty".