128544 has 48 divisors (see below), whose sum is σ = 366912. Its totient is φ = 39168.
The previous prime is 128521. The next prime is 128549. The reversal of 128544 is 445821.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (128549) by changing a digit.
128544 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 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 1299.
It is an arithmetic number, because the mean of its divisors is an integer number (7644).
2128544 is an apocalyptic number.
128544 is the 192-nd nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 128544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456).
128544 is an abundant number, since it is smaller than the sum of its proper divisors (238368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128544 is a wasteful number, since it uses less digits than its factorization.
128544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 129 (or 121 counting only the distinct ones).
The product of its digits is 1280, while the sum is 24.
The square root of 128544 is about 358.5303334447. The cubic root of 128544 is about 50.4681366164.
128544 divided by its sum of digits (24) gives a triangular number (5356 = T103).
The spelling of 128544 in words is "one hundred twenty-eight thousand, five hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •