142162416 has 180 divisors, whose sum is σ = 450231600. Its totient is φ = 41817600.

The previous prime is 142162393. The next prime is 142162417. The reversal of 142162416 is 614261241.

142162416 is a `hidden beast` number, since 1 + 4 + 21 + 624 + 16 = 666.

142162416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (2304) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 142162416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142162417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 714285 + ... + 714483.

Almost surely, 2^142162416 is an apocalyptic number.

142162416 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 142162416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225115800).

142162416 is an abundant number, since it is smaller than the sum of its proper divisors (308069184).

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

142162416 is a wasteful number, since it uses less digits than its factorization.

142162416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 142162416 is about 11923.1881642453. The cubic root of 142162416 is about 521.9091751963.

The spelling of 142162416 in words is "one hundred forty-two million, one hundred sixty-two thousand, four hundred sixteen".