142976075760 has 960 divisors, whose sum is σ = 596661811200. Its totient is φ = 29974855680.

The previous prime is 142976075689. The next prime is 142976075773. The reversal of 142976075760 is 67570679241.

142976075760 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 7 + 60 + 7 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142976075697 and 142976075706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 318432016 + ... + 318432464.

It is an arithmetic number, because the mean of its divisors is an integer number (621522720).

Almost surely, 2^142976075760 is an apocalyptic number.

142976075760 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 142976075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298330905600).

142976075760 is an abundant number, since it is smaller than the sum of its proper divisors (453685735440).

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

142976075760 is a wasteful number, since it uses less digits than its factorization.

142976075760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 142976075760 in words is "one hundred forty-two billion, nine hundred seventy-six million, seventy-five thousand, seven hundred sixty".