138348517800 has 96 divisors (see below), whose sum is σ = 429050753280. Its totient is φ = 36878284800.

The previous prime is 138348517789. The next prime is 138348517823. The reversal of 138348517800 is 8715843831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 138348517800.

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 23 ways as a sum of consecutive naturals, for example, 1510104 + ... + 1599096.

It is an arithmetic number, because the mean of its divisors is an integer number (4469278680).

Almost surely, 2^138348517800 is an apocalyptic number.

138348517800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138348517800 is an abundant number, since it is smaller than the sum of its proper divisors (290702235480).

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

138348517800 is a wasteful number, since it uses less digits than its factorization.

138348517800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91603 (or 91594 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 138348517800 in words is "one hundred thirty-eight billion, three hundred forty-eight million, five hundred seventeen thousand, eight hundred".