135213 has 8 divisors (see below), whose sum is σ = 194208. Its totient is φ = 83184.

The previous prime is 135211. The next prime is 135221. The reversal of 135213 is 312531.

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 135213 - 2¹ = 135211 is a prime.

135213 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 135192 and 135201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1695 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (24276).

2¹³⁵²¹³ is an apocalyptic number.

135213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135213 is a deficient number, since it is larger than the sum of its proper divisors (58995).

135213 is a wasteful number, since it uses less digits than its factorization.

135213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483.

The product of its digits is 90, while the sum is 15.

The square root of 135213 is about 367.7132034616. The cubic root of 135213 is about 51.3262438439.

Adding to 135213 its reverse (312531), we get a palindrome (447744).

It can be divided in two parts, 1352 and 13, that multiplied together give a cube (17576 = 26³).

The spelling of 135213 in words is "one hundred thirty-five thousand, two hundred thirteen".