142848 has 60 divisors (see below), whose sum is σ = 425568. Its totient is φ = 46080.

The previous prime is 142841. The next prime is 142867. The reversal of 142848 is 848241.

142848 = 4³ + 5³ + ... + 27³.

It is a super-2 number, since 2×142848² = 40811102208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142848.

It is not an unprimeable number, because it can be changed into a prime (142841) 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 5 ways as a sum of consecutive naturals, for example, 4593 + ... + 4623.

2¹⁴²⁸⁴⁸ is an apocalyptic number.

142848 is a gapful number since it is divisible by the number (18) 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 142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212784).

142848 is an abundant number, since it is smaller than the sum of its proper divisors (282720).

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

142848 is an equidigital number, since it uses as much as digits as its factorization.

142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 36 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 142848 is about 377.9523779526. The cubic root of 142848 is about 52.2746806167.

It can be divided in two parts, 142 and 848, that added together give a triangular number (990 = T₄₄).

The spelling of 142848 in words is "one hundred forty-two thousand, eight hundred forty-eight".