133985664 has 80 divisors (see below), whose sum is σ = 398770020. Its totient is φ = 44658432.

The previous prime is 133985639. The next prime is 133985669. The reversal of 133985664 is 466589331.

It is a super-3 number, since 3×133985664³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133985669) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3907 + ... + 16829.

Almost surely, 2^133985664 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 133985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199385010).

133985664 is an abundant number, since it is smaller than the sum of its proper divisors (264784356).

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

133985664 is an equidigital number, since it uses as much as digits as its factorization.

133985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12949 (or 12928 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 133985664 is about 11575.2176653400. The cubic root of 133985664 is about 511.7047451328.

The spelling of 133985664 in words is "one hundred thirty-three million, nine hundred eighty-five thousand, six hundred sixty-four".