135096 has 32 divisors (see below), whose sum is σ = 364560. Its totient is φ = 41472.

The previous prime is 135089. The next prime is 135101. The reversal of 135096 is 690531.

135096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 528.

2¹³⁵⁰⁹⁶ 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 135096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182280).

135096 is an abundant number, since it is smaller than the sum of its proper divisors (229464).

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

135096 is a wasteful number, since it uses less digits than its factorization.

135096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 135096 is about 367.5540776539. The cubic root of 135096 is about 51.3114353481.

It can be divided in two parts, 1350 and 96, that multiplied together give a square (129600 = 360²).

The spelling of 135096 in words is "one hundred thirty-five thousand, ninety-six".