138068787582825 has 192 divisors, whose sum is σ = 264104311670784. Its totient is φ = 62902033920000.

The previous prime is 138068787582821. The next prime is 138068787582829. The reversal of 138068787582825 is 528285787860831.

It is an interprime number because it is at equal distance from previous prime (138068787582821) and next prime (138068787582829).

It is not a de Polignac number, because 138068787582825 - 2² = 138068787582821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138068787582821) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42209960940 + ... + 42209964210.

It is an arithmetic number, because the mean of its divisors is an integer number (1375543289952).

Almost surely, 2^{138068787582825} is an apocalyptic number.

138068787582825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138068787582825 is a deficient number, since it is larger than the sum of its proper divisors (126035524087959).

138068787582825 is a wasteful number, since it uses less digits than its factorization.

138068787582825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 2890137600, while the sum is 78.

The spelling of 138068787582825 in words is "one hundred thirty-eight trillion, sixty-eight billion, seven hundred eighty-seven million, five hundred eighty-two thousand, eight hundred twenty-five".