135415 has 16 divisors (see below), whose sum is σ = 191808. Its totient is φ = 89856.

The previous prime is 135409. The next prime is 135427. The reversal of 135415 is 514531.

135415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 135415 - 2¹⁵ = 102647 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135392 and 135401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1819 + ... + 1891.

It is an arithmetic number, because the mean of its divisors is an integer number (11988).

2¹³⁵⁴¹⁵ is an apocalyptic number.

135415 is a deficient number, since it is larger than the sum of its proper divisors (56393).

135415 is an equidigital number, since it uses as much as digits as its factorization.

135415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 300, while the sum is 19.

The square root of 135415 is about 367.9877715360. The cubic root of 135415 is about 51.3517905555.

Adding to 135415 its reverse (514531), we get a palindrome (649946).

It can be divided in two parts, 1354 and 15, that added together give a square (1369 = 37²).

The spelling of 135415 in words is "one hundred thirty-five thousand, four hundred fifteen".