8130186144 has 144 divisors (see below), whose sum is σ = 23693342400. Its totient is φ = 2643701760.

The previous prime is 8130186133. The next prime is 8130186151. The reversal of 8130186144 is 4416810318.

It is a happy number.

8130186144 is a `hidden beast` number, since 8 + 1 + 30 + 1 + 8 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 8130186099 and 8130186108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981407 + ... + 1985505.

It is an arithmetic number, because the mean of its divisors is an integer number (164537100).

Almost surely, 2^8130186144 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 8130186144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846671200).

8130186144 is an abundant number, since it is smaller than the sum of its proper divisors (15563156256).

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

8130186144 is a wasteful number, since it uses less digits than its factorization.

8130186144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8130186144 is about 90167.5448484653. The cubic root of 8130186144 is about 2010.7905229408.

The spelling of 8130186144 in words is "eight billion, one hundred thirty million, one hundred eighty-six thousand, one hundred forty-four".