133828820 has 24 divisors (see below), whose sum is σ = 282933000. Its totient is φ = 53171072.

The previous prime is 133828819. The next prime is 133828831. The reversal of 133828820 is 28828331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 133033156 = 892^2 + 11534^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19475 + ... + 25434.

It is an arithmetic number, because the mean of its divisors is an integer number (11788875).

Almost surely, 2^133828820 is an apocalyptic number.

133828820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133828820 is an abundant number, since it is smaller than the sum of its proper divisors (149104180).

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

133828820 is a wasteful number, since it uses less digits than its factorization.

133828820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45067 (or 45065 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 133828820 is about 11568.4406900844. The cubic root of 133828820 is about 511.5049994941.

The spelling of 133828820 in words is "one hundred thirty-three million, eight hundred twenty-eight thousand, eight hundred twenty".