142784 has 28 divisors (see below), whose sum is σ = 298704. Its totient is φ = 67584.

The previous prime is 142771. The next prime is 142787. The reversal of 142784 is 487241.

142784 = 5³ + 6³ + ... + 27³.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142787) by changing a digit.

142784 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1424 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (10668).

2¹⁴²⁷⁸⁴ 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 142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149352).

142784 is an abundant number, since it is smaller than the sum of its proper divisors (155920).

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

142784 is an equidigital number, since it uses as much as digits as its factorization.

142784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 142784 is about 377.8677017158. The cubic root of 142784 is about 52.2668725986.

The spelling of 142784 in words is "one hundred forty-two thousand, seven hundred eighty-four".