213144360 has 128 divisors (see below), whose sum is σ = 751282560. Its totient is φ = 47692800.

The previous prime is 213144331. The next prime is 213144361. The reversal of 213144360 is 63441312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213144360.

It is not an unprimeable number, because it can be changed into a prime (213144361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10950 + ... + 23370.

It is an arithmetic number, because the mean of its divisors is an integer number (5869395).

Almost surely, 2^213144360 is an apocalyptic number.

213144360 is a gapful number since it is divisible by the number (20) 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 213144360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375641280).

213144360 is an abundant number, since it is smaller than the sum of its proper divisors (538138200).

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

213144360 is a wasteful number, since it uses less digits than its factorization.

213144360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12459 (or 12455 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 213144360 is about 14599.4643737365. The cubic root of 213144360 is about 597.3441503387.

Adding to 213144360 its reverse (63441312), we get a palindrome (276585672).

The spelling of 213144360 in words is "two hundred thirteen million, one hundred forty-four thousand, three hundred sixty".