135280 has 40 divisors (see below), whose sum is σ = 334800. Its totient is φ = 50688.

The previous prime is 135277. The next prime is 135281. The reversal of 135280 is 82531.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135281) by changing a digit.

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, 1476 + ... + 1564.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2¹³⁵²⁸⁰ is an apocalyptic number.

135280 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 135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400).

135280 is an abundant number, since it is smaller than the sum of its proper divisors (199520).

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

135280 is a wasteful number, since it uses less digits than its factorization.

135280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 135280 is about 367.8042957879. The cubic root of 135280 is about 51.3347200765.

The spelling of 135280 in words is "one hundred thirty-five thousand, two hundred eighty".