142281216 has 240 divisors, whose sum is σ = 513235008. Its totient is φ = 36864000.

The previous prime is 142281199. The next prime is 142281277. The reversal of 142281216 is 612182241.

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 a self number, because there is not a number n which added to its sum of digits gives 142281216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354616 + ... + 355016.

Almost surely, 2^142281216 is an apocalyptic number.

142281216 is a gapful number since it is divisible by the number (16) 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 142281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256617504).

142281216 is an abundant number, since it is smaller than the sum of its proper divisors (370953792).

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

142281216 is a wasteful number, since it uses less digits than its factorization.

142281216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 142281216 is about 11928.1690128871. The cubic root of 142281216 is about 522.0545149390.

The spelling of 142281216 in words is "one hundred forty-two million, two hundred eighty-one thousand, two hundred sixteen".