82134000000 has 1008 divisors, whose sum is σ = 331754737860. Its totient is φ = 20217600000.

The previous prime is 82133999933. The next prime is 82134000007. The reversal of 82134000000 is 43128.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82134000007) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 6317999994 + ... + 6318000006.

Almost surely, 2^82134000000 is an apocalyptic number.

82134000000 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 82134000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165877368930).

82134000000 is an abundant number, since it is smaller than the sum of its proper divisors (249620737860).

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

82134000000 is an frugal number, since it uses more digits than its factorization.

82134000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 82134000000 its reverse (43128), we get a palindrome (82134043128).

The spelling of 82134000000 in words is "eighty-two billion, one hundred thirty-four million", and thus it is an aban number.