142813776000 has 512 divisors, whose sum is σ = 558554480640. Its totient is φ = 31587840000.

The previous prime is 142813775987. The next prime is 142813776019. The reversal of 142813776000 is 677318241.

It is a self number, because there is not a number n which added to its sum of digits gives 142813776000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10409145 + ... + 10422855.

It is an arithmetic number, because the mean of its divisors is an integer number (1090926720).

Almost surely, 2^142813776000 is an apocalyptic number.

142813776000 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 142813776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279277240320).

142813776000 is an abundant number, since it is smaller than the sum of its proper divisors (415740704640).

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

142813776000 is a wasteful number, since it uses less digits than its factorization.

142813776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13781 (or 13759 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 142813776000 in words is "one hundred forty-two billion, eight hundred thirteen million, seven hundred seventy-six thousand".