138297687768000 has 2240 divisors, whose sum is σ = 569054861481600. Its totient is φ = 32883165388800.

The previous prime is 138297687767969. The next prime is 138297687768011. The reversal of 138297687768000 is 867786792831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

138297687768000 is a `hidden beast` number, since 1 + 382 + 97 + 6 + 87 + 7 + 6 + 80 + 0 + 0 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 138297687768000 = 6460³ + 51680³ = 29070³ + 48450³.

It is a self number, because there is not a number n which added to its sum of digits gives 138297687768000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7278825671991 + ... + 7278825672009.

Almost surely, 2^{138297687768000} is an apocalyptic number.

138297687768000 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 138297687768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284527430740800).

138297687768000 is an abundant number, since it is smaller than the sum of its proper divisors (430757173713600).

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

138297687768000 is an frugal number, since it uses more digits than its factorization.

138297687768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 138297687768000 in words is "one hundred thirty-eight trillion, two hundred ninety-seven billion, six hundred eighty-seven million, seven hundred sixty-eight thousand".