135413 has 4 divisors (see below), whose sum is σ = 142560. Its totient is φ = 128268.

The previous prime is 135409. The next prime is 135427. The reversal of 135413 is 314531.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 135413 - 2² = 135409 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 135391 and 135400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3545 + ... + 3582.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2¹³⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

135413 is a deficient number, since it is larger than the sum of its proper divisors (7147).

135413 is an equidigital number, since it uses as much as digits as its factorization.

135413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146.

The product of its digits is 180, while the sum is 17.

The square root of 135413 is about 367.9850540443. The cubic root of 135413 is about 51.3515377423.

Adding to 135413 its reverse (314531), we get a palindrome (449944).

It can be divided in two parts, 135 and 413, that multiplied together give a palindrome (55755).

The spelling of 135413 in words is "one hundred thirty-five thousand, four hundred thirteen".