133608 has 32 divisors (see below), whose sum is σ = 352800. Its totient is φ = 42048.

The previous prime is 133597. The next prime is 133631. The reversal of 133608 is 806331.

It is an unprimeable number.

133608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2¹³³⁶⁰⁸ 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 133608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400).

133608 is an abundant number, since it is smaller than the sum of its proper divisors (219192).

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

133608 is a wasteful number, since it uses less digits than its factorization.

133608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 133608 is about 365.5242809992. The cubic root of 133608 is about 51.1223513751.

Adding to 133608 its reverse (806331), we get a palindrome (939939).

It can be divided in two parts, 133 and 608, that added together give a triangular number (741 = T₃₈).

The spelling of 133608 in words is "one hundred thirty-three thousand, six hundred eight".