138405522320 has 80 divisors (see below), whose sum is σ = 346641355200. Its totient is φ = 51089536512.

The previous prime is 138405522317. The next prime is 138405522331. The reversal of 138405522320 is 23225504831.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4246727 + ... + 4279193.

It is an arithmetic number, because the mean of its divisors is an integer number (4333016940).

Almost surely, 2^138405522320 is an apocalyptic number.

138405522320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138405522320 is an abundant number, since it is smaller than the sum of its proper divisors (208235832880).

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

138405522320 is a wasteful number, since it uses less digits than its factorization.

138405522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36592 (or 36586 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 138405522320 in words is "one hundred thirty-eight billion, four hundred five million, five hundred twenty-two thousand, three hundred twenty".