8107148736000 has 1920 divisors, whose sum is σ = 31689738976896. Its totient is φ = 2063912140800.

The previous prime is 8107148735957. The next prime is 8107148736017. The reversal of 8107148736000 is 6378417018.

8107148736000 is a `hidden beast` number, since 8 + 107 + 1 + 487 + 3 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42005951904 + ... + 42005952096.

Almost surely, 2^{8107148736000} is an apocalyptic number.

8107148736000 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 8107148736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844869488448).

8107148736000 is an abundant number, since it is smaller than the sum of its proper divisors (23582590240896).

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

8107148736000 is an equidigital number, since it uses as much as digits as its factorization.

8107148736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 313 counting only the distinct ones).

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

The spelling of 8107148736000 in words is "eight trillion, one hundred seven billion, one hundred forty-eight million, seven hundred thirty-six thousand".