133688 has 16 divisors (see below), whose sum is σ = 265680. Its totient is φ = 62848.

The previous prime is 133673. The next prime is 133691. The reversal of 133688 is 886331.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 133688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 356 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (16605).

2¹³³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

133688 is a deficient number, since it is larger than the sum of its proper divisors (131992).

133688 is a wasteful number, since it uses less digits than its factorization.

133688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 133688 is about 365.6336964778. The cubic root of 133688 is about 51.1325527905.

The spelling of 133688 in words is "one hundred thirty-three thousand, six hundred eighty-eight".