133407 has 16 divisors (see below), whose sum is σ = 203360. Its totient is φ = 87480.

The previous prime is 133403. The next prime is 133417. The reversal of 133407 is 704331.

It is not a de Polignac number, because 133407 - 2² = 133403 is a prime.

It is a Duffinian number.

133407 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 133407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133403) 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, 2157 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (12710).

2¹³³⁴⁰⁷ is an apocalyptic number.

133407 is the 183-rd decagonal number.

133407 is a deficient number, since it is larger than the sum of its proper divisors (69953).

133407 is an frugal number, since it uses more digits than its factorization.

133407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 133407 is about 365.2492299787. The cubic root of 133407 is about 51.0967023376.

Adding to 133407 its reverse (704331), we get a palindrome (837738).

The spelling of 133407 in words is "one hundred thirty-three thousand, four hundred seven".