135784 has 16 divisors (see below), whose sum is σ = 277920. Its totient is φ = 61680.

The previous prime is 135781. The next prime is 135787. The reversal of 135784 is 487531.

It is an interprime number because it is at equal distance from previous prime (135781) and next prime (135787).

It is not an unprimeable number, because it can be changed into a prime (135781) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 684 + ... + 859.

It is an arithmetic number, because the mean of its divisors is an integer number (17370).

2¹³⁵⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

135784 is an abundant number, since it is smaller than the sum of its proper divisors (142136).

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

135784 is a wasteful number, since it uses less digits than its factorization.

135784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1556 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 135784 is about 368.4888058001. The cubic root of 135784 is about 51.3983920525.

It can be divided in two parts, 1357 and 84, that added together give a palindrome (1441).

The spelling of 135784 in words is "one hundred thirty-five thousand, seven hundred eighty-four".