138681607680 has 1280 divisors, whose sum is σ = 624508600320. Its totient is φ = 28333670400.

The previous prime is 138681607651. The next prime is 138681607697. The reversal of 138681607680 is 86706186831.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 377878857 + ... + 377879223.

It is an arithmetic number, because the mean of its divisors is an integer number (487897344).

Almost surely, 2^138681607680 is an apocalyptic number.

138681607680 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 138681607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312254300160).

138681607680 is an abundant number, since it is smaller than the sum of its proper divisors (485826992640).

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

138681607680 is a wasteful number, since it uses less digits than its factorization.

138681607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 138681607680 in words is "one hundred thirty-eight billion, six hundred eighty-one million, six hundred seven thousand, six hundred eighty".