135460 has 24 divisors (see below), whose sum is σ = 306936. Its totient is φ = 49920.

The previous prime is 135449. The next prime is 135461. The reversal of 135460 is 64531.

135460 is a nontrivial binomial coefficient, being equal to C(521, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 135424 = 6^2 + 368^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

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

135460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (12789).

2¹³⁵⁴⁶⁰ is an apocalyptic number.

135460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135460 is the 520-th triangular number.

135460 is the 174-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153468).

135460 is an abundant number, since it is smaller than the sum of its proper divisors (171476).

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

135460 is a wasteful number, since it uses less digits than its factorization.

135460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 135460 is about 368.0489097933. The cubic root of 135460 is about 51.3574781939.

Adding to 135460 its reverse (64531), we get a palindrome (199991).

It can be divided in two parts, 135 and 460, that added together give a palindrome (595).

The spelling of 135460 in words is "one hundred thirty-five thousand, four hundred sixty".