54225120 has 96 divisors (see below), whose sum is σ = 172059552. Its totient is φ = 14354432.

The previous prime is 54225113. The next prime is 54225161. The reversal of 54225120 is 2152245.

It is a happy number.

54225120 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 (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 82714 + ... + 83366.

It is an arithmetic number, because the mean of its divisors is an integer number (1792287).

Almost surely, 2^54225120 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 54225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86029776).

54225120 is an abundant number, since it is smaller than the sum of its proper divisors (117834432).

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

54225120 is a wasteful number, since it uses less digits than its factorization.

54225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 54225120 is about 7363.7707731841. The cubic root of 54225120 is about 378.5008338419.

Adding to 54225120 its reverse (2152245), we get a palindrome (56377365).

It can be divided in two parts, 54225 and 120, that added together give a palindrome (54345).

The spelling of 54225120 in words is "fifty-four million, two hundred twenty-five thousand, one hundred twenty".