142142688000 has 1440 divisors, whose sum is σ = 574108254720. Its totient is φ = 34836480000.

The previous prime is 142142687993. The next prime is 142142688007. The reversal of 142142688000 is 886241241.

It is an interprime number because it is at equal distance from previous prime (142142687993) and next prime (142142688007).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142142688007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2330207970 + ... + 2330208030.

It is an arithmetic number, because the mean of its divisors is an integer number (398686288).

Almost surely, 2^142142688000 is an apocalyptic number.

142142688000 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 142142688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287054127360).

142142688000 is an abundant number, since it is smaller than the sum of its proper divisors (431965566720).

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

142142688000 is an equidigital number, since it uses as much as digits as its factorization.

142142688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 142142688000 in words is "one hundred forty-two billion, one hundred forty-two million, six hundred eighty-eight thousand".