142420320 has 288 divisors, whose sum is σ = 566092800. Its totient is φ = 31933440.

The previous prime is 142420319. The next prime is 142420349. The reversal of 142420320 is 23024241.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 142420293 and 142420302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715581 + ... + 715779.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^142420320 is an apocalyptic number.

142420320 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 142420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

142420320 is an abundant number, since it is smaller than the sum of its proper divisors (423672480).

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

142420320 is a wasteful number, since it uses less digits than its factorization.

142420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142420320 is about 11933.9984917043. The cubic root of 142420320 is about 522.2245917771.

Adding to 142420320 its reverse (23024241), we get a palindrome (165444561).

The spelling of 142420320 in words is "one hundred forty-two million, four hundred twenty thousand, three hundred twenty".