128180 has 48 divisors (see below), whose sum is σ = 317520. Its totient is φ = 43008.

The previous prime is 128173. The next prime is 128189. The reversal of 128180 is 81821.

128180 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 8 ways, for example, as 1444 + 126736 = 38^2 + 356^2 .

It is a super-2 number, since 2×128180² = 32860224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4406 + ... + 4434.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2¹²⁸¹⁸⁰ is an apocalyptic number.

128180 is a gapful number since it is divisible by the number (10) 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 128180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760).

128180 is an abundant number, since it is smaller than the sum of its proper divisors (189340).

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

128180 is a wasteful number, since it uses less digits than its factorization.

128180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 128180 is about 358.0223456713. The cubic root of 128180 is about 50.4204544506.

It can be divided in two parts, 12 and 8180, that added together give a 13-th power (8192 = 2¹³).

The spelling of 128180 in words is "one hundred twenty-eight thousand, one hundred eighty".