138373008480 has 1536 divisors, whose sum is σ = 626592153600. Its totient is φ = 27787567104.

The previous prime is 138373008439. The next prime is 138373008491. The reversal of 138373008480 is 84800373831.

138373008480 is a `hidden beast` number, since 138 + 3 + 7 + 30 + 0 + 8 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 488950419 + ... + 488950701.

It is an arithmetic number, because the mean of its divisors is an integer number (407937600).

Almost surely, 2^138373008480 is an apocalyptic number.

138373008480 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 138373008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313296076800).

138373008480 is an abundant number, since it is smaller than the sum of its proper divisors (488219145120).

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

138373008480 is a wasteful number, since it uses less digits than its factorization.

138373008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 138373008480 in words is "one hundred thirty-eight billion, three hundred seventy-three million, eight thousand, four hundred eighty".