138048681032640 has 448 divisors, whose sum is σ = 560825935211520. Its totient is φ = 31313112330240.

The previous prime is 138048681032597. The next prime is 138048681032653. The reversal of 138048681032640 is 46230186840831.

It is a happy number.

138048681032640 is a `hidden beast` number, since 1 + 3 + 80 + 486 + 8 + 10 + 32 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 789147 + ... + 16634906.

Almost surely, 2^{138048681032640} is an apocalyptic number.

138048681032640 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 138048681032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280412967605760).

138048681032640 is an abundant number, since it is smaller than the sum of its proper divisors (422777254178880).

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

138048681032640 is a wasteful number, since it uses less digits than its factorization.

138048681032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17424217 (or 17424201 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 138048681032640 in words is "one hundred thirty-eight trillion, forty-eight billion, six hundred eighty-one million, thirty-two thousand, six hundred forty".