8134748160 has 768 divisors, whose sum is σ = 34342963200. Its totient is φ = 1592524800.

The previous prime is 8134748143. The next prime is 8134748173. The reversal of 8134748160 is 618474318.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44943270 + ... + 44943450.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 2^8134748160 is an apocalyptic number.

8134748160 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 8134748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171481600).

8134748160 is an abundant number, since it is smaller than the sum of its proper divisors (26208215040).

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

8134748160 is a wasteful number, since it uses less digits than its factorization.

8134748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8134748160 is about 90192.8387401128. The cubic root of 8134748160 is about 2011.1665513671.

The spelling of 8134748160 in words is "eight billion, one hundred thirty-four million, seven hundred forty-eight thousand, one hundred sixty".