142228529856000 has 2240 divisors, whose sum is σ = 628700398634880. Its totient is φ = 31386275020800.

The previous prime is 142228529855959. The next prime is 142228529856031. The reversal of 142228529856000 is 658925822241.

142228529856000 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 2 + 8 + 5 + 29 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9471160492 + ... + 9471175508.

Almost surely, 2^{142228529856000} is an apocalyptic number.

142228529856000 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 142228529856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314350199317440).

142228529856000 is an abundant number, since it is smaller than the sum of its proper divisors (486471868778880).

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

142228529856000 is an frugal number, since it uses more digits than its factorization.

142228529856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15104 (or 15063 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 142228529856000 in words is "one hundred forty-two trillion, two hundred twenty-eight billion, five hundred twenty-nine million, eight hundred fifty-six thousand".