135534305106 has 28 divisors (see below), whose sum is σ = 304812751182. Its totient is φ = 45178101216.

The previous prime is 135534305087. The next prime is 135534305107. The reversal of 135534305106 is 601503435531.

135534305106 is a `hidden beast` number, since 13 + 5 + 534 + 3 + 0 + 5 + 106 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108806959881 + 26727345225 = 329859^2 + 163485^2 .

It is not an unprimeable number, because it can be changed into a prime (135534305107) 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 13 ways as a sum of consecutive naturals, for example, 46478071 + ... + 46480986.

Almost surely, 2^135534305106 is an apocalyptic number.

135534305106 is an abundant number, since it is smaller than the sum of its proper divisors (169278446076).

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

135534305106 is an frugal number, since it uses more digits than its factorization.

135534305106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92959077 (or 92959062 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 135534305106 in words is "one hundred thirty-five billion, five hundred thirty-four million, three hundred five thousand, one hundred six".