82283136000 has 704 divisors, whose sum is σ = 301285910016. Its totient is φ = 19808256000.

The previous prime is 82283135999. The next prime is 82283136071. The reversal of 82283136000 is 63138228.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264575845 + ... + 264576155.

Almost surely, 2^82283136000 is an apocalyptic number.

82283136000 is a gapful number since it is divisible by the number (80) 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 82283136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150642955008).

82283136000 is an abundant number, since it is smaller than the sum of its proper divisors (219002774016).

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

82283136000 is a wasteful number, since it uses less digits than its factorization.

82283136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 82283136000 in words is "eighty-two billion, two hundred eighty-three million, one hundred thirty-six thousand".