135882084645 has 24 divisors (see below), whose sum is σ = 237029143416. Its totient is φ = 72008846208.

The previous prime is 135882084599. The next prime is 135882084661. The reversal of 135882084645 is 546480288531.

135882084645 is a `hidden beast` number, since 1 + 358 + 8 + 208 + 46 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1127750724 + 134754333921 = 33582^2 + 367089^2 .

It is not a de Polignac number, because 135882084645 - 2⁹ = 135882084133 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135882084591 and 135882084600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9609502 + ... + 9623631.

It is an arithmetic number, because the mean of its divisors is an integer number (9876214309).

Almost surely, 2^135882084645 is an apocalyptic number.

135882084645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135882084645 is a deficient number, since it is larger than the sum of its proper divisors (101147058771).

135882084645 is a wasteful number, since it uses less digits than its factorization.

135882084645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19233301 (or 19233298 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 135882084645 in words is "one hundred thirty-five billion, eight hundred eighty-two million, eighty-four thousand, six hundred forty-five".