142214144 has 44 divisors (see below), whose sum is σ = 294153900. Its totient is φ = 68640768.

The previous prime is 142214101. The next prime is 142214167. The reversal of 142214144 is 441412241.

It can be written as a sum of positive squares in 2 ways, for example, as 37356544 + 104857600 = 6112^2 + 10240^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27302 + ... + 32090.

Almost surely, 2^142214144 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 142214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147076950).

142214144 is an abundant number, since it is smaller than the sum of its proper divisors (151939756).

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

142214144 is an equidigital number, since it uses as much as digits as its factorization.

142214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4820 counting only the distinct ones).

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

The square root of 142214144 is about 11925.3571854264. The cubic root of 142214144 is about 521.9724691029.

Adding to 142214144 its reverse (441412241), we get a palindrome (583626385).

The spelling of 142214144 in words is "one hundred forty-two million, two hundred fourteen thousand, one hundred forty-four".