142765413336 has 288 divisors, whose sum is σ = 485988703200. Its totient is φ = 37527598080.

The previous prime is 142765413317. The next prime is 142765413341. The reversal of 142765413336 is 633314567241.

142765413336 is a `hidden beast` number, since 1 + 4 + 2 + 76 + 541 + 3 + 3 + 36 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 142765413291 and 142765413300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14258700 + ... + 14268708.

It is an arithmetic number, because the mean of its divisors is an integer number (1687460775).

Almost surely, 2^142765413336 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 142765413336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242994351600).

142765413336 is an abundant number, since it is smaller than the sum of its proper divisors (343223289864).

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

142765413336 is a wasteful number, since it uses less digits than its factorization.

142765413336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359 (or 10345 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 142765413336 in words is "one hundred forty-two billion, seven hundred sixty-five million, four hundred thirteen thousand, three hundred thirty-six".