135606085065 has 64 divisors (see below), whose sum is σ = 263081306880. Its totient is φ = 65726484480.

The previous prime is 135606085033. The next prime is 135606085103. The reversal of 135606085065 is 560580606531.

135606085065 is a `hidden beast` number, since 1 + 3 + 560 + 6 + 0 + 85 + 0 + 6 + 5 = 666.

It is not a de Polignac number, because 135606085065 - 2⁵ = 135606085033 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 135606085065.

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, 4995369 + ... + 5022441.

It is an arithmetic number, because the mean of its divisors is an integer number (4110645420).

Almost surely, 2^135606085065 is an apocalyptic number.

135606085065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135606085065 is a deficient number, since it is larger than the sum of its proper divisors (127475221815).

135606085065 is a wasteful number, since it uses less digits than its factorization.

135606085065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30471 (or 30465 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 135606085065 in words is "one hundred thirty-five billion, six hundred six million, eighty-five thousand, sixty-five".