15135 has 8 divisors (see below), whose sum is σ = 24240. Its totient is φ = 8064.

The previous prime is 15131. The next prime is 15137. The reversal of 15135 is 53151.

15135 = 53² + 54² + ... + 57².

15135 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 15135 - 2² = 15131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 1009 = 15135 / (1 + 5 + 1 + 3 + 5).

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

15135 is a modest number, since divided by 135 gives 15 as remainder.

15135 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15131) 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, 490 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (3030).

2¹⁵¹³⁵ is an apocalyptic number.

15135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15135 is a deficient number, since it is larger than the sum of its proper divisors (9105).

15135 is a wasteful number, since it uses less digits than its factorization.

15135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017.

The product of its digits is 75, while the sum is 15.

The square root of 15135 is about 123.0243878262. The cubic root of 15135 is about 24.7358862496.

Adding to 15135 its reverse (53151), we get a palindrome (68286).

It can be divided in two parts, 15 and 135, that multiplied together give a square (2025 = 45²).

The spelling of 15135 in words is "fifteen thousand, one hundred thirty-five".