133807828 has 72 divisors (see below), whose sum is σ = 303022944. Its totient is φ = 51105600.

The previous prime is 133807819. The next prime is 133807847. The reversal of 133807828 is 828708331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113683 + ... + 114853.

It is an arithmetic number, because the mean of its divisors is an integer number (4208652).

Almost surely, 2^133807828 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 133807828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151511472).

133807828 is an abundant number, since it is smaller than the sum of its proper divisors (169215116).

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

133807828 is a wasteful number, since it uses less digits than its factorization.

133807828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 133807828 is about 11567.5333584996. The cubic root of 133807828 is about 511.4782536994.

The spelling of 133807828 in words is "one hundred thirty-three million, eight hundred seven thousand, eight hundred twenty-eight".