138415410800 has 60 divisors (see below), whose sum is σ = 344010054120. Its totient is φ = 53456981760.

The previous prime is 138415410787. The next prime is 138415410817. The reversal of 138415410800 is 8014514831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5954582 + ... + 5977781.

It is an arithmetic number, because the mean of its divisors is an integer number (5733500902).

Almost surely, 2^138415410800 is an apocalyptic number.

138415410800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138415410800 is an abundant number, since it is smaller than the sum of its proper divisors (205594643320).

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

138415410800 is a wasteful number, since it uses less digits than its factorization.

138415410800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11932410 (or 11932399 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 138415410800 in words is "one hundred thirty-eight billion, four hundred fifteen million, four hundred ten thousand, eight hundred".