133037 has 4 divisors (see below), whose sum is σ = 133980. Its totient is φ = 132096.

The previous prime is 133033. The next prime is 133039. The reversal of 133037 is 730331.

133037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 90601 + 42436 = 301^2 + 206^2 .

It is a cyclic number.

It is not a de Polignac number, because 133037 - 2² = 133033 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 (133033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (33495).

2¹³³⁰³⁷ is an apocalyptic number.

It is an amenable number.

133037 is a deficient number, since it is larger than the sum of its proper divisors (943).

133037 is an equidigital number, since it uses as much as digits as its factorization.

133037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942.

The product of its (nonzero) digits is 189, while the sum is 17.

The square root of 133037 is about 364.7423748346. The cubic root of 133037 is about 51.0494202484.

Adding to 133037 its reverse (730331), we get a palindrome (863368).

The spelling of 133037 in words is "one hundred thirty-three thousand, thirty-seven".