135105828 has 96 divisors (see below), whose sum is σ = 379180032. Its totient is φ = 36892800.

The previous prime is 135105791. The next prime is 135105847. The reversal of 135105828 is 828501531.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72873 + ... + 74703.

It is an arithmetic number, because the mean of its divisors is an integer number (3949792).

Almost surely, 2^135105828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135105828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189590016).

135105828 is an abundant number, since it is smaller than the sum of its proper divisors (244074204).

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

135105828 is a wasteful number, since it uses less digits than its factorization.

135105828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 135105828 is about 11623.5032584845. The cubic root of 135105828 is about 513.1267959057.

The spelling of 135105828 in words is "one hundred thirty-five million, one hundred five thousand, eight hundred twenty-eight".