142819317312 has 224 divisors, whose sum is σ = 450397839360. Its totient is φ = 39081000960.

The previous prime is 142819317301. The next prime is 142819317341. The reversal of 142819317312 is 213713918241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4023739 + ... + 4059077.

It is an arithmetic number, because the mean of its divisors is an integer number (2010704640).

Almost surely, 2^142819317312 is an apocalyptic number.

142819317312 is a gapful number since it is divisible by the number (12) 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 142819317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225198919680).

142819317312 is an abundant number, since it is smaller than the sum of its proper divisors (307578522048).

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

142819317312 is a wasteful number, since it uses less digits than its factorization.

142819317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35489 (or 35479 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The spelling of 142819317312 in words is "one hundred forty-two billion, eight hundred nineteen million, three hundred seventeen thousand, three hundred twelve".