142646320 has 80 divisors (see below), whose sum is σ = 357968160. Its totient is φ = 52662272.

The previous prime is 142646311. The next prime is 142646323. The reversal of 142646320 is 23646241.

142646320 is digitally balanced in base 3, 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 (80).

It is not an unprimeable number, because it can be changed into a prime (142646323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71091 + ... + 73069.

It is an arithmetic number, because the mean of its divisors is an integer number (4474602).

Almost surely, 2^142646320 is an apocalyptic number.

142646320 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 142646320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178984080).

142646320 is an abundant number, since it is smaller than the sum of its proper divisors (215321840).

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

142646320 is a wasteful number, since it uses less digits than its factorization.

142646320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 142646320 is about 11943.4634842662. The cubic root of 142646320 is about 522.5006768762.

The spelling of 142646320 in words is "one hundred forty-two million, six hundred forty-six thousand, three hundred twenty".