8145438000 has 160 divisors (see below), whose sum is σ = 30012602880. Its totient is φ = 1861804800.

The previous prime is 8145437999. The next prime is 8145438019. The reversal of 8145438000 is 8345418.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54970 + ... + 138969.

It is an arithmetic number, because the mean of its divisors is an integer number (187578768).

Almost surely, 2^8145438000 is an apocalyptic number.

8145438000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8145438000 is an abundant number, since it is smaller than the sum of its proper divisors (21867164880).

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

8145438000 is a wasteful number, since it uses less digits than its factorization.

8145438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193972 (or 193956 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 8145438000 is about 90252.0803084339. The cubic root of 8145438000 is about 2012.0471210673.

The spelling of 8145438000 in words is "eight billion, one hundred forty-five million, four hundred thirty-eight thousand".