54134784 has 192 divisors, whose sum is σ = 176904000. Its totient is φ = 16220160.

The previous prime is 54134779. The next prime is 54134803. The reversal of 54134784 is 48743145.

54134784 is a `hidden beast` number, since 541 + 34 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (53760) is a multiple of the sum of its prime divisors (105).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608212 + ... + 608300.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 2^54134784 is an apocalyptic number.

54134784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54134784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

54134784 is an abundant number, since it is smaller than the sum of its proper divisors (122769216).

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

54134784 is a wasteful number, since it uses less digits than its factorization.

54134784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 54134784 is about 7357.6344024421. The cubic root of 54134784 is about 378.2905299804.

The spelling of 54134784 in words is "fifty-four million, one hundred thirty-four thousand, seven hundred eighty-four".