142133341214304 has 960 divisors, whose sum is σ = 499350699251712. Its totient is φ = 39155506790400.

The previous prime is 142133341214269. The next prime is 142133341214329. The reversal of 142133341214304 is 403412143331241.

142133341214304 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 3 + 3 + 341 + 2 + 1 + 4 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8219117082 + ... + 8219134374.

Almost surely, 2^{142133341214304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142133341214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249675349625856).

142133341214304 is an abundant number, since it is smaller than the sum of its proper divisors (357217358037408).

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

142133341214304 is a wasteful number, since it uses less digits than its factorization.

142133341214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17921 (or 17904 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 142133341214304 its reverse (403412143331241), we get a palindrome (545545484545545).

The spelling of 142133341214304 in words is "one hundred forty-two trillion, one hundred thirty-three billion, three hundred forty-one million, two hundred fourteen thousand, three hundred four".