180128 has 24 divisors (see below), whose sum is σ = 382788. Its totient is φ = 82944.

The previous prime is 180097. The next prime is 180137. The reversal of 180128 is 821081.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 29584 = 388^2 + 172^2 .

It is a super-3 number, since 3×180128³ = 17533351348371456, which contains 333 as substring.

It is a zygodrome in base 4.

It is an unprimeable number.

180128 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 3 ways as a sum of consecutive naturals, for example, 200 + ... + 632.

2¹⁸⁰¹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191394).

180128 is an abundant number, since it is smaller than the sum of its proper divisors (202660).

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

180128 is a wasteful number, since it uses less digits than its factorization.

180128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

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

The square root of 180128 is about 424.4148913504. The cubic root of 180128 is about 56.4755421852.

The spelling of 180128 in words is "one hundred eighty thousand, one hundred twenty-eight".