8124136160 has 96 divisors (see below), whose sum is σ = 22294948032. Its totient is φ = 2739732480.

The previous prime is 8124136151. The next prime is 8124136177. The reversal of 8124136160 is 616314218.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8864 + ... + 127776.

It is an arithmetic number, because the mean of its divisors is an integer number (232239042).

Almost surely, 2^8124136160 is an apocalyptic number.

8124136160 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 8124136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147474016).

8124136160 is an abundant number, since it is smaller than the sum of its proper divisors (14170811872).

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

8124136160 is a wasteful number, since it uses less digits than its factorization.

8124136160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118996 (or 118988 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 8124136160 is about 90133.9900370554. The cubic root of 8124136160 is about 2010.2916303338.

The spelling of 8124136160 in words is "eight billion, one hundred twenty-four million, one hundred thirty-six thousand, one hundred sixty".