135824818272 has 288 divisors, whose sum is σ = 428920240896. Its totient is φ = 37102464000.

The previous prime is 135824818243. The next prime is 135824818289. The reversal of 135824818272 is 272818428531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25380397 + ... + 25385747.

It is an arithmetic number, because the mean of its divisors is an integer number (1489306392).

Almost surely, 2^135824818272 is an apocalyptic number.

135824818272 is a gapful number since it is divisible by the number (12) 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 135824818272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214460120448).

135824818272 is an abundant number, since it is smaller than the sum of its proper divisors (293095422624).

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

135824818272 is a wasteful number, since it uses less digits than its factorization.

135824818272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5423 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The spelling of 135824818272 in words is "one hundred thirty-five billion, eight hundred twenty-four million, eight hundred eighteen thousand, two hundred seventy-two".