138817696776640 has 224 divisors, whose sum is σ = 383903334604800. Its totient is φ = 46826303139840.

The previous prime is 138817696776611. The next prime is 138817696776683. The reversal of 138817696776640 is 46677696718831.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75269046 + ... + 77091274.

Almost surely, 2^{138817696776640} is an apocalyptic number.

138817696776640 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 138817696776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191951667302400).

138817696776640 is an abundant number, since it is smaller than the sum of its proper divisors (245085637828160).

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

138817696776640 is a wasteful number, since it uses less digits than its factorization.

138817696776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822803 (or 1822793 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 79.

The spelling of 138817696776640 in words is "one hundred thirty-eight trillion, eight hundred seventeen billion, six hundred ninety-six million, seven hundred seventy-six thousand, six hundred forty".