135690828 has 96 divisors (see below), whose sum is σ = 392953344. Its totient is φ = 35486208.

The previous prime is 135690811. The next prime is 135690829. The reversal of 135690828 is 828096531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 135690828.

It is not an unprimeable number, because it can be changed into a prime (135690829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149151 + ... + 150057.

It is an arithmetic number, because the mean of its divisors is an integer number (4093264).

Almost surely, 2^135690828 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 135690828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196476672).

135690828 is an abundant number, since it is smaller than the sum of its proper divisors (257262516).

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

135690828 is a wasteful number, since it uses less digits than its factorization.

135690828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 135690828 is about 11648.6406073842. The cubic root of 135690828 is about 513.8663321313.

The spelling of 135690828 in words is "one hundred thirty-five million, six hundred ninety thousand, eight hundred twenty-eight".