135686645613765 has 48 divisors (see below), whose sum is σ = 249141435676848. Its totient is φ = 68077502742528.

The previous prime is 135686645613749. The next prime is 135686645613839. The reversal of 135686645613765 is 567316546686531.

It is a happy number.

135686645613765 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 86 + 6 + 456 + 1 + 37 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1707710558436 + 133978935055329 = 1306794^2 + 11574927^2 .

It is not a de Polignac number, because 135686645613765 - 2⁴ = 135686645613749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135686645613693 and 135686645613702.

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 47 ways as a sum of consecutive naturals, for example, 39864532 + ... + 43134141.

It is an arithmetic number, because the mean of its divisors is an integer number (5190446576601).

Almost surely, 2^{135686645613765} is an apocalyptic number.

135686645613765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135686645613765 is a deficient number, since it is larger than the sum of its proper divisors (113454790063083).

135686645613765 is a wasteful number, since it uses less digits than its factorization.

135686645613765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83000838 (or 83000835 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 72.

The spelling of 135686645613765 in words is "one hundred thirty-five trillion, six hundred eighty-six billion, six hundred forty-five million, six hundred thirteen thousand, seven hundred sixty-five".