138766740658560 has 3072 divisors, whose sum is σ = 613788215040000. Its totient is φ = 29255954595840.

The previous prime is 138766740658543. The next prime is 138766740658603. The reversal of 138766740658560 is 65856047667831.

It is a happy number.

138766740658560 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 6 + 6 + 7 + 4 + 0 + 6 + 58 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 137528979336 + ... + 137528980344.

It is an arithmetic number, because the mean of its divisors is an integer number (199800851250).

Almost surely, 2^{138766740658560} is an apocalyptic number.

138766740658560 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 138766740658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306894107520000).

138766740658560 is an abundant number, since it is smaller than the sum of its proper divisors (475021474381440).

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

138766740658560 is a wasteful number, since it uses less digits than its factorization.

138766740658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 138766740658560 in words is "one hundred thirty-eight trillion, seven hundred sixty-six billion, seven hundred forty million, six hundred fifty-eight thousand, five hundred sixty".