135037 has 8 divisors (see below), whose sum is σ = 156672. Its totient is φ = 114000.

The previous prime is 135029. The next prime is 135043. The reversal of 135037 is 730531.

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 135037 - 2³ = 135029 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 (135007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612 + ... + 802.

It is an arithmetic number, because the mean of its divisors is an integer number (19584).

2¹³⁵⁰³⁷ is an apocalyptic number.

It is an amenable number.

135037 is a deficient number, since it is larger than the sum of its proper divisors (21635).

135037 is a wasteful number, since it uses less digits than its factorization.

135037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 135037 is about 367.4738085905. The cubic root of 135037 is about 51.3039645730.

Adding to 135037 its reverse (730531), we get a palindrome (865568).

It can be divided in two parts, 13 and 5037, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 135037 in words is "one hundred thirty-five thousand, thirty-seven".