135827586117 has 24 divisors (see below), whose sum is σ = 203762047320. Its totient is φ = 87114424320.

The previous prime is 135827586109. The next prime is 135827586133. The reversal of 135827586117 is 711685728531.

135827586117 is a `hidden beast` number, since 1 + 3 + 58 + 2 + 7 + 586 + 1 + 1 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17137689921 + 118689896196 = 130911^2 + 344514^2 .

It is not a de Polignac number, because 135827586117 - 2³ = 135827586109 is a prime.

It is a super-2 number, since 2×135827586117² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135827586157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2261884 + ... + 2321157.

It is an arithmetic number, because the mean of its divisors is an integer number (8490085305).

Almost surely, 2^135827586117 is an apocalyptic number.

It is an amenable number.

135827586117 is a deficient number, since it is larger than the sum of its proper divisors (67934461203).

135827586117 is a wasteful number, since it uses less digits than its factorization.

135827586117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583173 (or 4583170 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The spelling of 135827586117 in words is "one hundred thirty-five billion, eight hundred twenty-seven million, five hundred eighty-six thousand, one hundred seventeen".