142816320 has 168 divisors, whose sum is σ = 520302744. Its totient is φ = 35831808.

The previous prime is 142816319. The next prime is 142816327. The reversal of 142816320 is 23618241.

142816320 is a `hidden beast` number, since 1 + 4 + 28 + 1 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79709184 + 63107136 = 8928^2 + 7944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142816327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47502 + ... + 50418.

Almost surely, 2^142816320 is an apocalyptic number.

142816320 is a gapful number since it is divisible by the number (10) 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 142816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260151372).

142816320 is an abundant number, since it is smaller than the sum of its proper divisors (377486424).

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

142816320 is a wasteful number, since it uses less digits than its factorization.

142816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2944 counting only the distinct ones).

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

The square root of 142816320 is about 11950.5782286884. The cubic root of 142816320 is about 522.7081593928.

The spelling of 142816320 in words is "one hundred forty-two million, eight hundred sixteen thousand, three hundred twenty".