128019 has 8 divisors (see below), whose sum is σ = 172480. Its totient is φ = 84456.

The previous prime is 127997. The next prime is 128021. The reversal of 128019 is 910821.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 128019 - 2⁸ = 127763 is a prime.

It is a super-2 number, since 2×128019² = 32777728722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127986 and 128004.

It is not an unprimeable number, because it can be changed into a prime (128099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (21560).

2¹²⁸⁰¹⁹ is an apocalyptic number.

128019 is a deficient number, since it is larger than the sum of its proper divisors (44461).

128019 is a wasteful number, since it uses less digits than its factorization.

128019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 128019 is about 357.7974287219. The cubic root of 128019 is about 50.3993354662.

The spelling of 128019 in words is "one hundred twenty-eight thousand, nineteen".