213144000 has 224 divisors, whose sum is σ = 718937856. Its totient is φ = 55628800.

The previous prime is 213143999. The next prime is 213144047. The reversal of 213144000 is 441312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991947 + ... + 1992053.

It is an arithmetic number, because the mean of its divisors is an integer number (3209544).

Almost surely, 2^213144000 is an apocalyptic number.

213144000 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 213144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359468928).

213144000 is an abundant number, since it is smaller than the sum of its proper divisors (505793856).

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

213144000 is a wasteful number, since it uses less digits than its factorization.

213144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213144000 is about 14599.4520445118. The cubic root of 213144000 is about 597.3438140345.

Adding to 213144000 its reverse (441312), we get a palindrome (213585312).

The spelling of 213144000 in words is "two hundred thirteen million, one hundred forty-four thousand".