135696 has 40 divisors (see below), whose sum is σ = 383904. Its totient is φ = 40960.

The previous prime is 135671. The next prime is 135697. The reversal of 135696 is 696531.

It is a happy number.

135696 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (135697) by changing a digit.

135696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 656.

2¹³⁵⁶⁹⁶ is an apocalyptic number.

135696 is a gapful number since it is divisible by the number (16) 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 135696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191952).

135696 is an abundant number, since it is smaller than the sum of its proper divisors (248208).

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

135696 is a wasteful number, since it uses less digits than its factorization.

135696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 135696 is about 368.3693798350. The cubic root of 135696 is about 51.3872860902.

The spelling of 135696 in words is "one hundred thirty-five thousand, six hundred ninety-six".