135410108160 has 288 divisors, whose sum is σ = 461230398720. Its totient is φ = 33738522624.

The previous prime is 135410108149. The next prime is 135410108173. The reversal of 135410108160 is 61801014531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9066459 + ... + 9081381.

It is an arithmetic number, because the mean of its divisors is an integer number (1601494440).

Almost surely, 2^135410108160 is an apocalyptic number.

135410108160 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 135410108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230615199360).

135410108160 is an abundant number, since it is smaller than the sum of its proper divisors (325820290560).

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

135410108160 is a wasteful number, since it uses less digits than its factorization.

135410108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15103 (or 15089 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 135410108160 in words is "one hundred thirty-five billion, four hundred ten million, one hundred eight thousand, one hundred sixty".