133805304 has 128 divisors (see below), whose sum is σ = 394632000. Its totient is φ = 41932800.

The previous prime is 133805303. The next prime is 133805311. The reversal of 133805304 is 403508331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133805303) 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, 256564 + ... + 257084.

Almost surely, 2^133805304 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 133805304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197316000).

133805304 is an abundant number, since it is smaller than the sum of its proper divisors (260826696).

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

133805304 is a wasteful number, since it uses less digits than its factorization.

133805304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133805304 is about 11567.4242595316. The cubic root of 133805304 is about 511.4750376962.

The spelling of 133805304 in words is "one hundred thirty-three million, eight hundred five thousand, three hundred four".