8004165156 has 243 divisors, whose sum is σ = 23266755603. Its totient is φ = 2318958720.

The previous prime is 8004165151. The next prime is 8004165161. The reversal of 8004165156 is 6515614008.

The square root of 8004165156 is 89466.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (8004165151) and next prime (8004165161).

It can be written as a sum of positive squares in 4 ways, for example, as 33246756 + 7970918400 = 5766^2 + 89280^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 8004165156.

It is not an unprimeable number, because it can be changed into a prime (8004165151) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 216328770 + ... + 216328806.

Almost surely, 2^8004165156 is an apocalyptic number.

8004165156 is the 89466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004165156

8004165156 is an abundant number, since it is smaller than the sum of its proper divisors (15262590447).

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

8004165156 is a wasteful number, since it uses less digits than its factorization.

8004165156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 8004165156 is about 2000.3470361128.

Multiplying 8004165156 by its sum of digits (36), we get a square (288149945616 = 536796²).

8004165156 divided by its sum of digits (36) gives a square (222337921 = 14911²).

The spelling of 8004165156 in words is "eight billion, four million, one hundred sixty-five thousand, one hundred fifty-six".