8138147760 has 280 divisors, whose sum is σ = 28982162880. Its totient is φ = 2123283456.

The previous prime is 8138147737. The next prime is 8138147783. The reversal of 8138147760 is 677418318.

It is an interprime number because it is at equal distance from previous prime (8138147737) and next prime (8138147783).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2739556 + ... + 2742524.

Almost surely, 2^8138147760 is an apocalyptic number.

8138147760 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 8138147760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491081440).

8138147760 is an abundant number, since it is smaller than the sum of its proper divisors (20844015120).

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

8138147760 is a wasteful number, since it uses less digits than its factorization.

8138147760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 8138147760 is about 90211.6830571296. The cubic root of 8138147760 is about 2011.4466751625.

The spelling of 8138147760 in words is "eight billion, one hundred thirty-eight million, one hundred forty-seven thousand, seven hundred sixty".