142280320 has 192 divisors, whose sum is σ = 427329000. Its totient is φ = 44900352.

The previous prime is 142280309. The next prime is 142280321. The reversal of 142280320 is 23082241.

142280320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 105021504 + 37258816 = 10248^2 + 6104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142280291 and 142280300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142280321) 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, 407506 + ... + 407854.

Almost surely, 2^142280320 is an apocalyptic number.

142280320 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 142280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213664500).

142280320 is an abundant number, since it is smaller than the sum of its proper divisors (285048680).

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

142280320 is a wasteful number, since it uses less digits than its factorization.

142280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 142280320 is about 11928.1314546747. The cubic root of 142280320 is about 522.0534190767.

The spelling of 142280320 in words is "one hundred forty-two million, two hundred eighty thousand, three hundred twenty".