138292748224608 has 192 divisors, whose sum is σ = 410641473795840. Its totient is φ = 40489018048512.

The previous prime is 138292748224577. The next prime is 138292748224613. The reversal of 138292748224608 is 806422847292831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31205341 + ... + 35360412.

It is an arithmetic number, because the mean of its divisors is an integer number (2138757676020).

Almost surely, 2^{138292748224608} is an apocalyptic number.

It is an amenable number.

138292748224608 is an abundant number, since it is smaller than the sum of its proper divisors (272348725571232).

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

138292748224608 is a wasteful number, since it uses less digits than its factorization.

138292748224608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66565869 (or 66565861 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 66.

The spelling of 138292748224608 in words is "one hundred thirty-eight trillion, two hundred ninety-two billion, seven hundred forty-eight million, two hundred twenty-four thousand, six hundred eight".