135464 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 55680.

The previous prime is 135463. The next prime is 135467. The reversal of 135464 is 464531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2267 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹³⁵⁴⁶⁴ is an apocalyptic number.

135464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

135464 is an abundant number, since it is smaller than the sum of its proper divisors (166936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135464 is a wasteful number, since it uses less digits than its factorization.

135464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 135464 is about 368.0543438135. The cubic root of 135464 is about 51.3579837008.

Adding to 135464 its reverse (464531), we get a palindrome (599995).

The spelling of 135464 in words is "one hundred thirty-five thousand, four hundred sixty-four".