135031 has 12 divisors (see below), whose sum is σ = 158112. Its totient is φ = 114816.

The previous prime is 135029. The next prime is 135043. The reversal of 135031 is 130531.

It is not a de Polignac number, because 135031 - 2¹ = 135029 is a prime.

It is a super-2 number, since 2×135031² = 36466741922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135131) 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 11 ways as a sum of consecutive naturals, for example, 2850 + ... + 2896.

It is an arithmetic number, because the mean of its divisors is an integer number (13176).

2¹³⁵⁰³¹ is an apocalyptic number.

135031 is a deficient number, since it is larger than the sum of its proper divisors (23081).

135031 is a wasteful number, since it uses less digits than its factorization.

135031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 135031 is about 367.4656446527. The cubic root of 135031 is about 51.3032047112.

Adding to 135031 its reverse (130531), we get a palindrome (265562).

The spelling of 135031 in words is "one hundred thirty-five thousand, thirty-one".