213110144 has 64 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 97185792.

The previous prime is 213110071. The next prime is 213110159. The reversal of 213110144 is 441011312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147377 + ... + 148815.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^213110144 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 213110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

213110144 is an abundant number, since it is smaller than the sum of its proper divisors (249561856).

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

213110144 is a wasteful number, since it uses less digits than its factorization.

213110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 213110144 is about 14598.2925028922. The cubic root of 213110144 is about 597.3121848026.

Adding to 213110144 its reverse (441011312), we get a palindrome (654121456).

The spelling of 213110144 in words is "two hundred thirteen million, one hundred ten thousand, one hundred forty-four".