8000138160 has 240 divisors, whose sum is σ = 30788297280. Its totient is φ = 1823662080.

The previous prime is 8000138143. The next prime is 8000138183. The reversal of 8000138160 is 618310008.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2059420 + ... + 2063300.

It is an arithmetic number, because the mean of its divisors is an integer number (128284572).

Almost surely, 2^8000138160 is an apocalyptic number.

8000138160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394148640).

8000138160 is an abundant number, since it is smaller than the sum of its proper divisors (22788159120).

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

8000138160 is a wasteful number, since it uses less digits than its factorization.

8000138160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8000138160 is about 89443.4914345365. The cubic root of 8000138160 is about 2000.0115132671.

Adding to 8000138160 its reverse (618310008), we get a palindrome (8618448168).

The spelling of 8000138160 in words is "eight billion, one hundred thirty-eight thousand, one hundred sixty".