142128 has 80 divisors (see below), whose sum is σ = 476160. Its totient is φ = 39744.

The previous prime is 142123. The next prime is 142151. The reversal of 142128 is 821241.

It is a Cunningham number, because it is equal to 377²-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a self number, because there is not a number n which added to its sum of digits gives 142128.

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 142128.

It is not an unprimeable number, because it can be changed into a prime (142123) by changing a digit.

142128 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 15 ways as a sum of consecutive naturals, for example, 3001 + ... + 3047.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2¹⁴²¹²⁸ is an apocalyptic number.

142128 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 142128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080).

142128 is an abundant number, since it is smaller than the sum of its proper divisors (334032).

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

142128 is a wasteful number, since it uses less digits than its factorization.

142128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 142128 is about 376.9986737377. The cubic root of 142128 is about 52.1867055588.

Adding to 142128 its reverse (821241), we get a palindrome (963369).

It can be divided in two parts, 14 and 2128, that multiplied together give a palindrome (29792).

The spelling of 142128 in words is "one hundred forty-two thousand, one hundred twenty-eight".