54045120 has 112 divisors (see below), whose sum is σ = 180685440. Its totient is φ = 13648896.

The previous prime is 54045119. The next prime is 54045127. The reversal of 54045120 is 2154045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54045127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16759 + ... + 19721.

Almost surely, 2^54045120 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 54045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90342720).

54045120 is an abundant number, since it is smaller than the sum of its proper divisors (126640320).

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

54045120 is a wasteful number, since it uses less digits than its factorization.

54045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2992 counting only the distinct ones).

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

The square root of 54045120 is about 7351.5386144670. The cubic root of 54045120 is about 378.0815590648.

Adding to 54045120 its reverse (2154045), we get a palindrome (56199165).

The spelling of 54045120 in words is "fifty-four million, forty-five thousand, one hundred twenty".