48138144 has 48 divisors (see below), whose sum is σ = 130727520. Its totient is φ = 15491840.

The previous prime is 48138143. The next prime is 48138157. The reversal of 48138144 is 44183184.

48138144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48138143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5862 + ... + 11429.

It is an arithmetic number, because the mean of its divisors is an integer number (2723490).

Almost surely, 2^48138144 is an apocalyptic number.

It is an amenable number.

48138144 is an abundant number, since it is smaller than the sum of its proper divisors (82589376).

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

48138144 is a wasteful number, since it uses less digits than its factorization.

48138144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17333 (or 17325 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 48138144 is about 6938.1657518396. The cubic root of 48138144 is about 363.7724295046.

The spelling of 48138144 in words is "forty-eight million, one hundred thirty-eight thousand, one hundred forty-four".