135313685685 has 24 divisors (see below), whose sum is σ = 236619338904. Its totient is φ = 71528647680.

The previous prime is 135313685681. The next prime is 135313685713. The reversal of 135313685685 is 586586313531.

135313685685 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 13 + 68 + 568 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2626152516 + 132687533169 = 51246^2 + 364263^2 .

It is not a de Polignac number, because 135313685685 - 2² = 135313685681 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135313685681) 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, 13300096 + ... + 13310265.

It is an arithmetic number, because the mean of its divisors is an integer number (9859139121).

Almost surely, 2^135313685685 is an apocalyptic number.

135313685685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135313685685 is a deficient number, since it is larger than the sum of its proper divisors (101305653219).

135313685685 is a wasteful number, since it uses less digits than its factorization.

135313685685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26610485 (or 26610482 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 135313685685 in words is "one hundred thirty-five billion, three hundred thirteen million, six hundred eighty-five thousand, six hundred eighty-five".