135518328 has 96 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 40737600.

The previous prime is 135518311. The next prime is 135518353. The reversal of 135518328 is 823815531.

135518328 is a `hidden beast` number, since 1 + 3 + 551 + 83 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135518292 and 135518301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109473 + ... + 110703.

It is an arithmetic number, because the mean of its divisors is an integer number (4204200).

Almost surely, 2^135518328 is an apocalyptic number.

135518328 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 135518328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

135518328 is an abundant number, since it is smaller than the sum of its proper divisors (268084872).

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

135518328 is a wasteful number, since it uses less digits than its factorization.

135518328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1386 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 135518328 is about 11641.2339552128. The cubic root of 135518328 is about 513.6484851016.

It can be divided in two parts, 1355 and 18328, that added together give a 9-th power (19683 = 3⁹).

The spelling of 135518328 in words is "one hundred thirty-five million, five hundred eighteen thousand, three hundred twenty-eight".