135164315088 has 600 divisors, whose sum is σ = 462649540320. Its totient is φ = 37761085440.

The previous prime is 135164315017. The next prime is 135164315093. The reversal of 135164315088 is 880513461531.

135164315088 is a `hidden beast` number, since 1 + 3 + 51 + 64 + 31 + 508 + 8 = 666.

It is a congruent number.

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, 218358843 + ... + 218359461.

Almost surely, 2^135164315088 is an apocalyptic number.

135164315088 is a gapful number since it is divisible by the number (18) 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 135164315088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231324770160).

135164315088 is an abundant number, since it is smaller than the sum of its proper divisors (327485225232).

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

135164315088 is a wasteful number, since it uses less digits than its factorization.

135164315088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 135164315088 in words is "one hundred thirty-five billion, one hundred sixty-four million, three hundred fifteen thousand, eighty-eight".