142416 has 60 divisors (see below), whose sum is σ = 425568. Its totient is φ = 44352.

The previous prime is 142403. The next prime is 142421. The reversal of 142416 is 614241.

It is a Harshad number since it is a multiple of its sum of digits (18).

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.

142416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3291 + ... + 3333.

2¹⁴²⁴¹⁶ is an apocalyptic number.

142416 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 142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212784).

142416 is an abundant number, since it is smaller than the sum of its proper divisors (283152).

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

142416 is a wasteful number, since it uses less digits than its factorization.

142416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 142416 is about 377.3804446444. The cubic root of 142416 is about 52.2219311554.

Adding to 142416 its reverse (614241), we get a palindrome (756657).

The spelling of 142416 in words is "one hundred forty-two thousand, four hundred sixteen".