135237 has 8 divisors (see below), whose sum is σ = 183520. Its totient is φ = 88560.

The previous prime is 135221. The next prime is 135241. The reversal of 135237 is 732531.

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 135237 - 2⁴ = 135221 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 (135257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (22940).

2¹³⁵²³⁷ is an apocalyptic number.

It is an amenable number.

135237 is a deficient number, since it is larger than the sum of its proper divisors (48283).

135237 is an equidigital number, since it uses as much as digits as its factorization.

135237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803.

The product of its digits is 630, while the sum is 21.

The square root of 135237 is about 367.7458361423. The cubic root of 135237 is about 51.3292804281.

Adding to 135237 its reverse (732531), we get a palindrome (867768).

It can be divided in two parts, 13523 and 7, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 135237 in words is "one hundred thirty-five thousand, two hundred thirty-seven".