48150144 has 144 divisors (see below), whose sum is σ = 161367570. Its totient is φ = 13741056.

The previous prime is 48150139. The next prime is 48150169. The reversal of 48150144 is 44105184.

It is a happy number.

48150144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47444544 + 705600 = 6888^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 56022 + ... + 56874.

Almost surely, 2^48150144 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 48150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80683785).

48150144 is an abundant number, since it is smaller than the sum of its proper divisors (113217426).

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

48150144 is a wasteful number, since it uses less digits than its factorization.

48150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 48150144 is about 6939.0304798293. The cubic root of 48150144 is about 363.8026543680.

It can be divided in two parts, 481 and 50144, that added together give a 4-th power (50625 = 15⁴).

The spelling of 48150144 in words is "forty-eight million, one hundred fifty thousand, one hundred forty-four".