133807 has 6 divisors (see below), whose sum is σ = 142448. Its totient is φ = 125664.

The previous prime is 133801. The next prime is 133811. The reversal of 133807 is 708331.

133807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133807 - 2¹¹ = 131759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58 + ... + 520.

2¹³³⁸⁰⁷ is an apocalyptic number.

133807 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

133807 is a deficient number, since it is larger than the sum of its proper divisors (8641).

133807 is an equidigital number, since it uses as much as digits as its factorization.

133807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 133807 is about 365.7963914530. The cubic root of 133807 is about 51.1477198692.

The spelling of 133807 in words is "one hundred thirty-three thousand, eight hundred seven".