128142 has 40 divisors (see below), whose sum is σ = 331056. Its totient is φ = 36288.

The previous prime is 128119. The next prime is 128147. The reversal of 128142 is 241821.

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

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 128142.

It is not an unprimeable number, because it can be changed into a prime (128147) by changing a digit.

128142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078 + ... + 1190.

2¹²⁸¹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165528).

128142 is an abundant number, since it is smaller than the sum of its proper divisors (202914).

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

128142 is a wasteful number, since it uses less digits than its factorization.

128142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

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

The square root of 128142 is about 357.9692724243. The cubic root of 128142 is about 50.4154714407.

Adding to 128142 its reverse (241821), we get a palindrome (369963).

The spelling of 128142 in words is "one hundred twenty-eight thousand, one hundred forty-two".