142320 has 40 divisors (see below), whose sum is σ = 441936. Its totient is φ = 37888.

The previous prime is 142319. The next prime is 142327. The reversal of 142320 is 23241.

142320 = T₁₅ + T₁₆ + ... + T₉₄.

142320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 142296 and 142305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 536.

2¹⁴²³²⁰ is an apocalyptic number.

142320 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 142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220968).

142320 is an abundant number, since it is smaller than the sum of its proper divisors (299616).

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

142320 is a wasteful number, since it uses less digits than its factorization.

142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 142320 is about 377.2532306025. The cubic root of 142320 is about 52.2101945709.

Adding to 142320 its reverse (23241), we get a palindrome (165561).

The spelling of 142320 in words is "one hundred forty-two thousand, three hundred twenty", and thus it is an iban number.