9837130128 has 160 divisors (see below), whose sum is σ = 29669172480. Its totient is φ = 2750668800.

The previous prime is 9837130073. The next prime is 9837130151. The reversal of 9837130128 is 8210317389.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 9837130128.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3018676 + ... + 3021932.

It is an arithmetic number, because the mean of its divisors is an integer number (185432328).

Almost surely, 2^9837130128 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 9837130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834586240).

9837130128 is an abundant number, since it is smaller than the sum of its proper divisors (19832042352).

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

9837130128 is a wasteful number, since it uses less digits than its factorization.

9837130128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 9837130128 is about 99182.3075351648. The cubic root of 9837130128 is about 2142.6741926144.

The spelling of 9837130128 in words is "nine billion, eight hundred thirty-seven million, one hundred thirty thousand, one hundred twenty-eight".