219138144 has 48 divisors (see below), whose sum is σ = 577704960. Its totient is φ = 72732800.

The previous prime is 219138133. The next prime is 219138149. The reversal of 219138144 is 441831912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219138149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18169 + ... + 27719.

It is an arithmetic number, because the mean of its divisors is an integer number (12035520).

Almost surely, 2^219138144 is an apocalyptic number.

219138144 is a gapful number since it is divisible by the number (24) 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 219138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288852480).

219138144 is an abundant number, since it is smaller than the sum of its proper divisors (358566816).

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

219138144 is a wasteful number, since it uses less digits than its factorization.

219138144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803 (or 9795 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 219138144 is about 14803.3153043499. The cubic root of 219138144 is about 602.8917296650.

The spelling of 219138144 in words is "two hundred nineteen million, one hundred thirty-eight thousand, one hundred forty-four".