80144 has 10 divisors (see below), whose sum is σ = 155310. Its totient is φ = 40064.

The previous prime is 80141. The next prime is 80147. The reversal of 80144 is 44108.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80141) and next prime (80147).

It can be written as a sum of positive squares in only one way, i.e., 67600 + 12544 = 260^2 + 112^2 .

80144 is a modest number, since divided by 144 gives 80 as remainder.

It is not an unprimeable number, because it can be changed into a prime (80141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2489 + ... + 2520.

It is an arithmetic number, because the mean of its divisors is an integer number (15531).

2⁸⁰¹⁴⁴ is an apocalyptic number.

It is an amenable number.

80144 is a deficient number, since it is larger than the sum of its proper divisors (75166).

80144 is a wasteful number, since it uses less digits than its factorization.

80144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 80144 is about 283.0971564675. The cubic root of 80144 is about 43.1145315205.

The spelling of 80144 in words is "eighty thousand, one hundred forty-four".