144648 has 72 divisors (see below), whose sum is σ = 466830. Its totient is φ = 40320.
The previous prime is 144629. The next prime is 144659. The reversal of 144648 is 846441.
144648 is a `hidden beast` number, since 14 + 4 + 648 = 666.
It can be written as a sum of positive squares in only one way, i.e., 142884 + 1764 = 378^2 + 42^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
144648 is a modest number, since divided by 648 gives 144 as remainder.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144648.
It is an unprimeable number.
144648 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 17 ways as a sum of consecutive naturals, for example, 3508 + ... + 3548.
2144648 is an apocalyptic number.
144648 is a gapful number since it is divisible by the number (18) 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 144648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233415).
144648 is an abundant number, since it is smaller than the sum of its proper divisors (322182).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144648 is a wasteful number, since it uses less digits than its factorization.
144648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 67 (or 53 counting only the distinct ones).
The product of its digits is 3072, while the sum is 27.
The square root of 144648 is about 380.3261758018. The cubic root of 144648 is about 52.4933324866.
The spelling of 144648 in words is "one hundred forty-four thousand, six hundred forty-eight".
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