142848000 has 312 divisors, whose sum is σ = 531563136. Its totient is φ = 36864000.

The previous prime is 142847989. The next prime is 142848007. The reversal of 142848000 is 848241.

142848000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142848000² = 40811102208000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142848007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607985 + ... + 4608015.

It is an arithmetic number, because the mean of its divisors is an integer number (1703728).

Almost surely, 2^142848000 is an apocalyptic number.

142848000 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 142848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265781568).

142848000 is an abundant number, since it is smaller than the sum of its proper divisors (388715136).

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

142848000 is an equidigital number, since it uses as much as digits as its factorization.

142848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 142848000 is about 11951.9036140692. The cubic root of 142848000 is about 522.7468061670.

The spelling of 142848000 in words is "one hundred forty-two million, eight hundred forty-eight thousand".