213134240 has 144 divisors (see below), whose sum is σ = 564074280. Its totient is φ = 76032000.

The previous prime is 213134239. The next prime is 213134279. The reversal of 213134240 is 42431312.

213134240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 212110096 + 1024144 = 14564^2 + 1012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1955306 + ... + 1955414.

Almost surely, 2^213134240 is an apocalyptic number.

213134240 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 213134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282037140).

213134240 is an abundant number, since it is smaller than the sum of its proper divisors (350940040).

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

213134240 is a wasteful number, since it uses less digits than its factorization.

213134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 213134240 is about 14599.1177815647. The cubic root of 213134240 is about 597.3346963103.

Adding to 213134240 its reverse (42431312), we get a palindrome (255565552).

The spelling of 213134240 in words is "two hundred thirteen million, one hundred thirty-four thousand, two hundred forty".