133515 has 32 divisors (see below), whose sum is σ = 253440. Its totient is φ = 66528.

The previous prime is 133499. The next prime is 133519. The reversal of 133515 is 515331.

It is a happy number.

It is not a de Polignac number, because 133515 - 2⁴ = 133499 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3084 + ... + 3126.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2¹³³⁵¹⁵ is an apocalyptic number.

133515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133515 is a deficient number, since it is larger than the sum of its proper divisors (119925).

133515 is a wasteful number, since it uses less digits than its factorization.

133515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 133515 is about 365.3970443230. The cubic root of 133515 is about 51.1104871099.

Adding to 133515 its reverse (515331), we get a palindrome (648846).

The spelling of 133515 in words is "one hundred thirty-three thousand, five hundred fifteen".