135864828 has 72 divisors (see below), whose sum is σ = 378408576. Its totient is φ = 40759200.

The previous prime is 135864823. The next prime is 135864871. The reversal of 135864828 is 828468531.

135864828 is a `hidden beast` number, since 1 + 3 + 586 + 48 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135864823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39123 + ... + 42453.

Almost surely, 2^135864828 is an apocalyptic number.

135864828 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 135864828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189204288).

135864828 is an abundant number, since it is smaller than the sum of its proper divisors (242543748).

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

135864828 is a wasteful number, since it uses less digits than its factorization.

135864828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3450 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 135864828 is about 11656.1068972449. The cubic root of 135864828 is about 514.0858865196.

The spelling of 135864828 in words is "one hundred thirty-five million, eight hundred sixty-four thousand, eight hundred twenty-eight".