138103973280 has 576 divisors, whose sum is σ = 598765160448. Its totient is φ = 28197642240.

The previous prime is 138103973279. The next prime is 138103973291. The reversal of 138103973280 is 82379301831.

It is a happy number.

138103973280 is a `hidden beast` number, since 138 + 103 + 97 + 328 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4045242 + ... + 4079238.

It is an arithmetic number, because the mean of its divisors is an integer number (1039522848).

Almost surely, 2^138103973280 is an apocalyptic number.

138103973280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138103973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299382580224).

138103973280 is an abundant number, since it is smaller than the sum of its proper divisors (460661187168).

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

138103973280 is a wasteful number, since it uses less digits than its factorization.

138103973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34069 (or 34058 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 138103973280 in words is "one hundred thirty-eight billion, one hundred three million, nine hundred seventy-three thousand, two hundred eighty".