142780013284272 has 640 divisors, whose sum is σ = 467627003289600. Its totient is φ = 37300542612480.

The previous prime is 142780013284267. The next prime is 142780013284361. The reversal of 142780013284272 is 272482310087241.

It is a super-2 number, since 2×142780013284272² (a number of 29 digits) contains 22 as substring.

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, 10710368647 + ... + 10710381977.

It is an arithmetic number, because the mean of its divisors is an integer number (730667192640).

Almost surely, 2^{142780013284272} is an apocalyptic number.

142780013284272 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 142780013284272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233813501644800).

142780013284272 is an abundant number, since it is smaller than the sum of its proper divisors (324846990005328).

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

142780013284272 is a wasteful number, since it uses less digits than its factorization.

142780013284272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846 (or 13826 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 142780013284272 in words is "one hundred forty-two trillion, seven hundred eighty billion, thirteen million, two hundred eighty-four thousand, two hundred seventy-two".