138023509904 has 80 divisors (see below), whose sum is σ = 322127953920. Its totient is φ = 56035499520.

The previous prime is 138023509867. The next prime is 138023509927. The reversal of 138023509904 is 409905320831.

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, 228752 + ... + 573039.

It is an arithmetic number, because the mean of its divisors is an integer number (4026599424).

Almost surely, 2^138023509904 is an apocalyptic number.

138023509904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138023509904 is an abundant number, since it is smaller than the sum of its proper divisors (184104444016).

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

138023509904 is a wasteful number, since it uses less digits than its factorization.

138023509904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801888 (or 801882 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 138023509904 in words is "one hundred thirty-eight billion, twenty-three million, five hundred nine thousand, nine hundred four".