138412908480 has 896 divisors, whose sum is σ = 581704704000. Its totient is φ = 27013201920.

The previous prime is 138412908451. The next prime is 138412908521. The reversal of 138412908480 is 84809214831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 195222366 + ... + 195223074.

It is an arithmetic number, because the mean of its divisors is an integer number (649224000).

Almost surely, 2^138412908480 is an apocalyptic number.

138412908480 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 138412908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290852352000).

138412908480 is an abundant number, since it is smaller than the sum of its proper divisors (443291795520).

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

138412908480 is a wasteful number, since it uses less digits than its factorization.

138412908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 138412908480 in words is "one hundred thirty-eight billion, four hundred twelve million, nine hundred eight thousand, four hundred eighty".