213141600 has 216 divisors, whose sum is σ = 859163760. Its totient is φ = 48706560.

The previous prime is 213141559. The next prime is 213141623. The reversal of 213141600 is 6141312.

It is a happy number.

213141600 is a `hidden beast` number, since 21 + 3 + 1 + 41 + 600 = 666.

213141600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48286 + ... + 52514.

It is an arithmetic number, because the mean of its divisors is an integer number (3977610).

Almost surely, 2^213141600 is an apocalyptic number.

213141600 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 213141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429581880).

213141600 is an abundant number, since it is smaller than the sum of its proper divisors (646022160).

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

213141600 is a wasteful number, since it uses less digits than its factorization.

213141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 213141600 is about 14599.3698494147. The cubic root of 213141600 is about 597.3415719970.

Adding to 213141600 its reverse (6141312), we get a palindrome (219282912).

The spelling of 213141600 in words is "two hundred thirteen million, one hundred forty-one thousand, six hundred".