135116562105 has 384 divisors, whose sum is σ = 314475872256. Its totient is φ = 54195609600.

The previous prime is 135116562073. The next prime is 135116562109. The reversal of 135116562105 is 501265611531.

135116562105 is a `hidden beast` number, since 13 + 5 + 1 + 16 + 5 + 621 + 0 + 5 = 666.

It is not a de Polignac number, because 135116562105 - 2⁵ = 135116562073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135116562105.

It is not an unprimeable number, because it can be changed into a prime (135116562109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136343160 + ... + 136344150.

It is an arithmetic number, because the mean of its divisors is an integer number (818947584).

Almost surely, 2^135116562105 is an apocalyptic number.

135116562105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135116562105 is an abundant number, since it is smaller than the sum of its proper divisors (179359310151).

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

135116562105 is a wasteful number, since it uses less digits than its factorization.

135116562105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 135116562105 in words is "one hundred thirty-five billion, one hundred sixteen million, five hundred sixty-two thousand, one hundred five".