133805568 has 80 divisors (see below), whose sum is σ = 383944176. Its totient is φ = 41164800.

The previous prime is 133805563. The next prime is 133805593. The reversal of 133805568 is 865508331.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133805563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16618 + ... + 23318.

Almost surely, 2^133805568 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 133805568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191972088).

133805568 is an abundant number, since it is smaller than the sum of its proper divisors (250138608).

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

133805568 is an equidigital number, since it uses as much as digits as its factorization.

133805568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 133805568 is about 11567.4356708823. The cubic root of 133805568 is about 511.4753740787.

The spelling of 133805568 in words is "one hundred thirty-three million, eight hundred five thousand, five hundred sixty-eight".