218145152 has 32 divisors (see below), whose sum is σ = 437059800. Its totient is φ = 108451840.

The previous prime is 218145127. The next prime is 218145197. The reversal of 218145152 is 251541812.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×218145152² = 95174614682206208, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 18152 + ... + 27672.

Almost surely, 2^218145152 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 218145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218529900).

218145152 is an abundant number, since it is smaller than the sum of its proper divisors (218914648).

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

218145152 is an equidigital number, since it uses as much as digits as its factorization.

218145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9714 (or 9702 counting only the distinct ones).

The product of its digits is 3200, while the sum is 29.

The square root of 218145152 is about 14769.7377092486. The cubic root of 218145152 is about 601.9797125645.

Adding to 218145152 its reverse (251541812), we get a palindrome (469686964).

The spelling of 218145152 in words is "two hundred eighteen million, one hundred forty-five thousand, one hundred fifty-two".