133145233 has 8 divisors (see below), whose sum is σ = 143750376. Its totient is φ = 122592000.

The previous prime is 133145213. The next prime is 133145239. The reversal of 133145233 is 332541331.

It can be written as a sum of positive squares in 4 ways, for example, as 32182929 + 100962304 = 5673^2 + 10048^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 133145233 - 2²⁵ = 99590801 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133145198 and 133145207.

It is not an unprimeable number, because it can be changed into a prime (133145239) 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, 7558 + ... + 17983.

It is an arithmetic number, because the mean of its divisors is an integer number (17968797).

Almost surely, 2^133145233 is an apocalyptic number.

133145233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133145233 is a deficient number, since it is larger than the sum of its proper divisors (10605143).

133145233 is a wasteful number, since it uses less digits than its factorization.

133145233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25955.

The product of its digits is 3240, while the sum is 25.

The square root of 133145233 is about 11538.8575257692. The cubic root of 133145233 is about 510.6326034353.

Adding to 133145233 its reverse (332541331), we get a palindrome (465686564).

It can be divided in two parts, 1331 and 45233, that added together give a palindrome (46564).

The spelling of 133145233 in words is "one hundred thirty-three million, one hundred forty-five thousand, two hundred thirty-three".