54198144 has 384 divisors, whose sum is σ = 213857280. Its totient is φ = 12718080.

The previous prime is 54198121. The next prime is 54198149. The reversal of 54198144 is 44189145.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 54198099 and 54198108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54198149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153129 + ... + 1153175.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 2^54198144 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 54198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

54198144 is an abundant number, since it is smaller than the sum of its proper divisors (159659136).

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

54198144 is a wasteful number, since it uses less digits than its factorization.

54198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 54198144 is about 7361.9388750519. The cubic root of 54198144 is about 378.4380576960.

The spelling of 54198144 in words is "fifty-four million, one hundred ninety-eight thousand, one hundred forty-four".