8128902144 has 176 divisors, whose sum is σ = 24666186240. Its totient is φ = 2355978240.

The previous prime is 8128902143. The next prime is 8128902149. The reversal of 8128902144 is 4412098218.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8128902143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 771987 + ... + 782445.

Almost surely, 2^8128902144 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 8128902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12333093120).

8128902144 is an abundant number, since it is smaller than the sum of its proper divisors (16537284096).

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

8128902144 is a wasteful number, since it uses less digits than its factorization.

8128902144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 8128902144 is about 90160.4244887966. The cubic root of 8128902144 is about 2010.6846626765.

The spelling of 8128902144 in words is "eight billion, one hundred twenty-eight million, nine hundred two thousand, one hundred forty-four".