134784 has 80 divisors (see below), whose sum is σ = 431970. Its totient is φ = 41472.

The previous prime is 134777. The next prime is 134789. The reversal of 134784 is 487431.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 5184 = 360^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (134789) by changing a digit.

134784 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 (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10362 + ... + 10374.

134784 is a Friedman number, since it can be written as 78*(4*3)^(4-1), using all its digits and the basic arithmetic operations.

2¹³⁴⁷⁸⁴ 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 134784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215985).

134784 is an abundant number, since it is smaller than the sum of its proper divisors (297186).

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

134784 is an equidigital number, since it uses as much as digits as its factorization.

134784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 18 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 134784 is about 367.1294049787. The cubic root of 134784 is about 51.2719041804.

It can be divided in two parts, 1347 and 84, that added together give a triangular number (1431 = T₅₃).

The spelling of 134784 in words is "one hundred thirty-four thousand, seven hundred eighty-four".