142133443244352 has 336 divisors, whose sum is σ = 468035630929152. Its totient is φ = 40397169254400.

The previous prime is 142133443244329. The next prime is 142133443244381. The reversal of 142133443244352 is 253442344331241.

142133443244352 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 334 + 43 + 244 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 142133443244298 and 142133443244307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8191648477 + ... + 8191665827.

Almost surely, 2^{142133443244352} is an apocalyptic number.

142133443244352 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 142133443244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234017815464576).

142133443244352 is an abundant number, since it is smaller than the sum of its proper divisors (325902187684800).

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

142133443244352 is a wasteful number, since it uses less digits than its factorization.

142133443244352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27886 (or 27873 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

Adding to 142133443244352 its reverse (253442344331241), we get a palindrome (395575787575593).

The spelling of 142133443244352 in words is "one hundred forty-two trillion, one hundred thirty-three billion, four hundred forty-three million, two hundred forty-four thousand, three hundred fifty-two".