135828576 has 240 divisors, whose sum is σ = 448232400. Its totient is φ = 40061952.

The previous prime is 135828569. The next prime is 135828619. The reversal of 135828576 is 675828531.

135828576 is a `hidden beast` number, since 1 + 3 + 58 + 28 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 977115 + ... + 977253.

It is an arithmetic number, because the mean of its divisors is an integer number (1867635).

Almost surely, 2^135828576 is an apocalyptic number.

135828576 is a gapful number since it is divisible by the number (16) 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 135828576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224116200).

135828576 is an abundant number, since it is smaller than the sum of its proper divisors (312403824).

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

135828576 is a wasteful number, since it uses less digits than its factorization.

135828576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 135828576 is about 11654.5517288311. The cubic root of 135828576 is about 514.0401589642.

Subtracting from 135828576 its sum of digits (45), we obtain a palindrome (135828531).

The spelling of 135828576 in words is "one hundred thirty-five million, eight hundred twenty-eight thousand, five hundred seventy-six".