135005684688 has 400 divisors, whose sum is σ = 497731893120. Its totient is φ = 34392563712.

The previous prime is 135005684687. The next prime is 135005684689. The reversal of 135005684688 is 886486500531.

135005684688 is a `hidden beast` number, since 1 + 3 + 500 + 56 + 8 + 4 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (135005684687) and next prime (135005684689).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135005684687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2907220 + ... + 2953292.

Almost surely, 2^135005684688 is an apocalyptic number.

135005684688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135005684688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248865946560).

135005684688 is an abundant number, since it is smaller than the sum of its proper divisors (362726208432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135005684688 is a wasteful number, since it uses less digits than its factorization.

135005684688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46136 (or 46121 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 135005684688 in words is "one hundred thirty-five billion, five million, six hundred eighty-four thousand, six hundred eighty-eight".