60144 has 40 divisors (see below), whose sum is σ = 178560. Its totient is φ = 17088.

The previous prime is 60139. The next prime is 60149. The reversal of 60144 is 44106.

It is an interprime number because it is at equal distance from previous prime (60139) and next prime (60149).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 60144.

It is not an unprimeable number, because it can be changed into a prime (60149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2⁶⁰¹⁴⁴ 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 60144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

60144 is an abundant number, since it is smaller than the sum of its proper divisors (118416).

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

60144 is a wasteful number, since it uses less digits than its factorization.

60144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 60144 is about 245.2427368955. The cubic root of 60144 is about 39.1799703310.

The spelling of 60144 in words is "sixty thousand, one hundred forty-four".