133664132 has 96 divisors (see below), whose sum is σ = 306270720. Its totient is φ = 49674240.

The previous prime is 133664123. The next prime is 133664137. The reversal of 133664132 is 231466331.

It is a super-2 number, since 2×133664132² = 35732200366626848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 133664095 and 133664104.

It is not an unprimeable number, because it can be changed into a prime (133664137) 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, 317282 + ... + 317702.

It is an arithmetic number, because the mean of its divisors is an integer number (3190320).

Almost surely, 2^133664132 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 133664132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153135360).

133664132 is an abundant number, since it is smaller than the sum of its proper divisors (172606588).

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

133664132 is a wasteful number, since it uses less digits than its factorization.

133664132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 133664132 is about 11561.3205128134. The cubic root of 133664132 is about 511.2950962426.

The spelling of 133664132 in words is "one hundred thirty-three million, six hundred sixty-four thousand, one hundred thirty-two".