135045 has 12 divisors (see below), whose sum is σ = 234156. Its totient is φ = 72000.

The previous prime is 135043. The next prime is 135049. The reversal of 135045 is 540531.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 74529 = 246^2 + 273^2 .

It is not a de Polignac number, because 135045 - 2¹ = 135043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1456 + ... + 1545.

It is an arithmetic number, because the mean of its divisors is an integer number (19513).

135045 is a Friedman number, since it can be written as 45015*3, using all its digits and the basic arithmetic operations.

2¹³⁵⁰⁴⁵ is an apocalyptic number.

135045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135045 is a deficient number, since it is larger than the sum of its proper divisors (99111).

135045 is a wasteful number, since it uses less digits than its factorization.

135045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 135045 is about 367.4846935588. The cubic root of 135045 is about 51.3049776869.

Adding to 135045 its reverse (540531), we get a palindrome (675576).

The spelling of 135045 in words is "one hundred thirty-five thousand, forty-five".