133688328 has 64 divisors (see below), whose sum is σ = 351682560. Its totient is φ = 42267456.

The previous prime is 133688327. The next prime is 133688329. The reversal of 133688328 is 823886331.

It is an interprime number because it is at equal distance from previous prime (133688327) and next prime (133688329).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133688328.

It is not an unprimeable number, because it can be changed into a prime (133688327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69151 + ... + 71057.

It is an arithmetic number, because the mean of its divisors is an integer number (5495040).

Almost surely, 2^133688328 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 133688328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175841280).

133688328 is an abundant number, since it is smaller than the sum of its proper divisors (217994232).

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

133688328 is a wasteful number, since it uses less digits than its factorization.

133688328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2062 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 133688328 is about 11562.3668857202. The cubic root of 133688328 is about 511.3259460788.

The spelling of 133688328 in words is "one hundred thirty-three million, six hundred eighty-eight thousand, three hundred twenty-eight".