54185112 has 128 divisors (see below), whose sum is σ = 161376000. Its totient is φ = 17006112.

The previous prime is 54185083. The next prime is 54185129. The reversal of 54185112 is 21158145.

54185112 is a `hidden beast` number, since 541 + 8 + 5 + 112 = 666.

54185112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×54185112³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 332343 + ... + 332505.

It is an arithmetic number, because the mean of its divisors is an integer number (1260750).

Almost surely, 2^54185112 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 54185112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80688000).

54185112 is an abundant number, since it is smaller than the sum of its proper divisors (107190888).

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

54185112 is a wasteful number, since it uses less digits than its factorization.

54185112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 54185112 is about 7361.0537289168. The cubic root of 54185112 is about 378.4077233233.

The spelling of 54185112 in words is "fifty-four million, one hundred eighty-five thousand, one hundred twelve".