142255603728000 has 1024 divisors, whose sum is σ = 603545164185600. Its totient is φ = 32259451392000.

The previous prime is 142255603727957. The next prime is 142255603728053. The reversal of 142255603728000 is 827306552241.

142255603728000 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 5 + 560 + 3 + 7 + 2 + 80 + 0 + 0 = 666.

It is a super-3 number, since 3×142255603728000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 383862795 + ... + 384233205.

It is an arithmetic number, because the mean of its divisors is an integer number (589399574400).

Almost surely, 2^{142255603728000} is an apocalyptic number.

142255603728000 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 142255603728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301772582092800).

142255603728000 is an abundant number, since it is smaller than the sum of its proper divisors (461289560457600).

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

142255603728000 is a wasteful number, since it uses less digits than its factorization.

142255603728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370583 (or 370555 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 142255603728000 in words is "one hundred forty-two trillion, two hundred fifty-five billion, six hundred three million, seven hundred twenty-eight thousand".