142314816 has 112 divisors (see below), whose sum is σ = 439318400. Its totient is φ = 40642560.

The previous prime is 142314779. The next prime is 142314829. The reversal of 142314816 is 618413241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×142314816² = 40507013706227712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64776 + ... + 66936.

Almost surely, 2^142314816 is an apocalyptic number.

142314816 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 142314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219659200).

142314816 is an abundant number, since it is smaller than the sum of its proper divisors (297003584).

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

142314816 is an equidigital number, since it uses as much as digits as its factorization.

142314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2173 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 142314816 is about 11929.5773604935. The cubic root of 142314816 is about 522.0956064515.

The spelling of 142314816 in words is "one hundred forty-two million, three hundred fourteen thousand, eight hundred sixteen".