135282017268 has 192 divisors, whose sum is σ = 377198080000. Its totient is φ = 41801443200.

The previous prime is 135282017261. The next prime is 135282017281. The reversal of 135282017268 is 862710282531.

135282017268 is a `hidden beast` number, since 1 + 352 + 8 + 20 + 17 + 268 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135282017261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24906513 + ... + 24911943.

Almost surely, 2^135282017268 is an apocalyptic number.

135282017268 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 135282017268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188599040000).

135282017268 is an abundant number, since it is smaller than the sum of its proper divisors (241916062732).

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

135282017268 is a wasteful number, since it uses less digits than its factorization.

135282017268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 135282017268 its reverse (862710282531), we get a palindrome (997992299799).

The spelling of 135282017268 in words is "one hundred thirty-five billion, two hundred eighty-two million, seventeen thousand, two hundred sixty-eight".