135516 has 24 divisors (see below), whose sum is σ = 330624. Its totient is φ = 43120.

The previous prime is 135511. The next prime is 135533. The reversal of 135516 is 615531.

It is a happy number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 135492 and 135501.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135516.

It is not an unprimeable number, because it can be changed into a prime (135511) by changing a digit.

135516 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (13776).

2¹³⁵⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165312).

135516 is an abundant number, since it is smaller than the sum of its proper divisors (195108).

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

135516 is a wasteful number, since it uses less digits than its factorization.

135516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 135516 is about 368.1249787776. The cubic root of 135516 is about 51.3645543850.

The spelling of 135516 in words is "one hundred thirty-five thousand, five hundred sixteen".