2008134088077 has 32 divisors (see below), whose sum is σ = 2953971538560. Its totient is φ = 1205565281280.

The previous prime is 2008134088031. The next prime is 2008134088091. The reversal of 2008134088077 is 7708804318002.

It is a happy number.

It is not a de Polignac number, because 2008134088077 - 2²³ = 2008125699469 is a prime.

It is a super-3 number, since 3×2008134088077³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008134088777) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49323193 + ... + 49363889.

It is an arithmetic number, because the mean of its divisors is an integer number (92311610580).

Almost surely, 2^{2008134088077} is an apocalyptic number.

It is an amenable number.

2008134088077 is a deficient number, since it is larger than the sum of its proper divisors (945837450483).

2008134088077 is a wasteful number, since it uses less digits than its factorization.

2008134088077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71613.

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 2008134088077 in words is "two trillion, eight billion, one hundred thirty-four million, eighty-eight thousand, seventy-seven".