214142144 has 28 divisors (see below), whose sum is σ = 443416944. Its totient is φ = 102415104.

The previous prime is 214142143. The next prime is 214142161. The reversal of 214142144 is 441241412.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (214142143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 71267 + ... + 74210.

Almost surely, 2^214142144 is an apocalyptic number.

It is an amenable number.

214142144 is an abundant number, since it is smaller than the sum of its proper divisors (229274800).

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

214142144 is a wasteful number, since it uses less digits than its factorization.

214142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145512 (or 145502 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 214142144 is about 14633.5964137323. The cubic root of 214142144 is about 598.2748072338.

Adding to 214142144 its reverse (441241412), we get a palindrome (655383556).

The spelling of 214142144 in words is "two hundred fourteen million, one hundred forty-two thousand, one hundred forty-four".