214720144 has 20 divisors (see below), whose sum is σ = 416429820. Its totient is φ = 107254400.

The previous prime is 214720133. The next prime is 214720153. The reversal of 214720144 is 441027412.

It can be written as a sum of positive squares in 2 ways, for example, as 119071744 + 95648400 = 10912^2 + 9780^2 .

It is a super-2 number, since 2×214720144² = 92209480478761472, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 11694 + ... + 23794.

It is an arithmetic number, because the mean of its divisors is an integer number (20821491).

Almost surely, 2^214720144 is an apocalyptic number.

It is an amenable number.

214720144 is a deficient number, since it is larger than the sum of its proper divisors (201709676).

214720144 is a wasteful number, since it uses less digits than its factorization.

214720144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13218 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 214720144 is about 14653.3321807704. The cubic root of 214720144 is about 598.8125998330.

Adding to 214720144 its reverse (441027412), we get a palindrome (655747556).

The spelling of 214720144 in words is "two hundred fourteen million, seven hundred twenty thousand, one hundred forty-four".