133828816 has 40 divisors (see below), whose sum is σ = 288222624. Its totient is φ = 59679360.

The previous prime is 133828801. The next prime is 133828817. The reversal of 133828816 is 618828331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133828817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2155 + ... + 16501.

Almost surely, 2^133828816 is an apocalyptic number.

133828816 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 133828816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144111312).

133828816 is an abundant number, since it is smaller than the sum of its proper divisors (154393808).

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

133828816 is a wasteful number, since it uses less digits than its factorization.

133828816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419 (or 14413 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 133828816 is about 11568.4405172002. The cubic root of 133828816 is about 511.5049943980.

The spelling of 133828816 in words is "one hundred thirty-three million, eight hundred twenty-eight thousand, eight hundred sixteen".