133237 has 8 divisors (see below), whose sum is σ = 147896. Its totient is φ = 119232.

The previous prime is 133213. The next prime is 133241. The reversal of 133237 is 732331.

It can be written as a sum of positive squares in 4 ways, for example, as 7921 + 125316 = 89^2 + 354^2 .

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 133237 - 2⁷ = 133109 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343 + ... + 619.

It is an arithmetic number, because the mean of its divisors is an integer number (18487).

2¹³³²³⁷ is an apocalyptic number.

It is an amenable number.

133237 is a deficient number, since it is larger than the sum of its proper divisors (14659).

133237 is a wasteful number, since it uses less digits than its factorization.

133237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its digits is 378, while the sum is 19.

The square root of 133237 is about 365.0164379860. The cubic root of 133237 is about 51.0749890050.

Adding to 133237 its reverse (732331), we get a palindrome (865568).

It can be divided in two parts, 1332 and 37, that multiplied together give a square (49284 = 222²).

The spelling of 133237 in words is "one hundred thirty-three thousand, two hundred thirty-seven".