133765 has 8 divisors (see below), whose sum is σ = 165888. Its totient is φ = 103440.

The previous prime is 133733. The next prime is 133769. The reversal of 133765 is 567331.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133765 - 2⁵ = 133733 is a prime.

It is a Duffinian number.

133765 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (20736).

2¹³³⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

133765 is a deficient number, since it is larger than the sum of its proper divisors (32123).

133765 is an equidigital number, since it uses as much as digits as its factorization.

133765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899.

The product of its digits is 1890, while the sum is 25.

The square root of 133765 is about 365.7389779611. The cubic root of 133765 is about 51.1423678098.

It can be divided in two parts, 133 and 765, that added together give a palindrome (898).

The spelling of 133765 in words is "one hundred thirty-three thousand, seven hundred sixty-five".