135095328 has 144 divisors (see below), whose sum is σ = 417316536. Its totient is φ = 41287680.

The previous prime is 135095299. The next prime is 135095341. The reversal of 135095328 is 823590531.

135095328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90098064 + 44997264 = 9492^2 + 6708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 135095292 and 135095301.

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, 200400 + ... + 201072.

Almost surely, 2^135095328 is an apocalyptic number.

135095328 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 135095328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208658268).

135095328 is an abundant number, since it is smaller than the sum of its proper divisors (282221208).

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

135095328 is a wasteful number, since it uses less digits than its factorization.

135095328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 135095328 is about 11623.0515786518. The cubic root of 135095328 is about 513.1135026945.

The spelling of 135095328 in words is "one hundred thirty-five million, ninety-five thousand, three hundred twenty-eight".