2008149071300 has 144 divisors (see below), whose sum is σ = 4680300441600. Its totient is φ = 746198745600.

The previous prime is 2008149071297. The next prime is 2008149071317. The reversal of 2008149071300 is 31709418002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15488141 + ... + 15617259.

It is an arithmetic number, because the mean of its divisors is an integer number (32502086400).

Almost surely, 2^{2008149071300} is an apocalyptic number.

2008149071300 is a gapful number since it is divisible by the number (20) 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 2008149071300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340150220800).

2008149071300 is an abundant number, since it is smaller than the sum of its proper divisors (2672151370300).

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

2008149071300 is a wasteful number, since it uses less digits than its factorization.

2008149071300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129366 (or 129359 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 2008149071300 in words is "two trillion, eight billion, one hundred forty-nine million, seventy-one thousand, three hundred".