8129321136 has 160 divisors (see below), whose sum is σ = 23828832000. Its totient is φ = 2652728832.

The previous prime is 8129321131. The next prime is 8129321141. The reversal of 8129321136 is 6311239218.

It is an interprime number because it is at equal distance from previous prime (8129321131) and next prime (8129321141).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8129321136.

It is not an unprimeable number, because it can be changed into a prime (8129321131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7977235 + ... + 7978253.

It is an arithmetic number, because the mean of its divisors is an integer number (148930200).

Almost surely, 2^8129321136 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 8129321136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914416000).

8129321136 is an abundant number, since it is smaller than the sum of its proper divisors (15699510864).

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

8129321136 is a wasteful number, since it uses less digits than its factorization.

8129321136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1396 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 8129321136 is about 90162.7480504005. The cubic root of 8129321136 is about 2010.7192079857.

The spelling of 8129321136 in words is "eight billion, one hundred twenty-nine million, three hundred twenty-one thousand, one hundred thirty-six".