48144 has 40 divisors (see below), whose sum is σ = 133920. Its totient is φ = 14848.

The previous prime is 48131. The next prime is 48157. The reversal of 48144 is 44184.

It is an interprime number because it is at equal distance from previous prime (48131) and next prime (48157).

It is a nude number because it is divisible by every one of its digits.

48144 is a modest number, since divided by 144 gives 48 as remainder.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 48144.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

2⁴⁸¹⁴⁴ 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 48144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

48144 is an abundant number, since it is smaller than the sum of its proper divisors (85776).

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

48144 is a wasteful number, since it uses less digits than its factorization.

48144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 48144 is about 219.4174104304. The cubic root of 48144 is about 36.3787179865.

It can be divided in two parts, 481 and 44, that added together give a palindrome (525).

The spelling of 48144 in words is "forty-eight thousand, one hundred forty-four".