135680 has 40 divisors (see below), whose sum is σ = 331452. Its totient is φ = 53248.

The previous prime is 135671. The next prime is 135697. The reversal of 135680 is 86531.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 256 = 368^2 + 16^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2534 + ... + 2586.

2¹³⁵⁶⁸⁰ is an apocalyptic number.

135680 is a gapful number since it is divisible by the number (10) 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 135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165726).

135680 is an abundant number, since it is smaller than the sum of its proper divisors (195772).

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

135680 is an frugal number, since it uses more digits than its factorization.

135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 135680 is about 368.3476618631. The cubic root of 135680 is about 51.3852663085.

The spelling of 135680 in words is "one hundred thirty-five thousand, six hundred eighty".