138383390740608 has 192 divisors, whose sum is σ = 429117410292480. Its totient is φ = 42552394168320.

The previous prime is 138383390740547. The next prime is 138383390740619. The reversal of 138383390740608 is 806047093383831.

138383390740608 is a `hidden beast` number, since 13 + 8 + 3 + 8 + 3 + 3 + 9 + 0 + 7 + 4 + 0 + 608 = 666.

It is a Cunningham number, because it is equal to 11763647²-1.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20586385 + ... + 26468207.

It is an arithmetic number, because the mean of its divisors is an integer number (2234986511940).

Almost surely, 2^{138383390740608} is an apocalyptic number.

138383390740608 is a gapful number since it is divisible by the number (18) 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 138383390740608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214558705146240).

138383390740608 is an abundant number, since it is smaller than the sum of its proper divisors (290734019551872).

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

138383390740608 is a wasteful number, since it uses less digits than its factorization.

138383390740608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883427 (or 5883412 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 138383390740608 in words is "one hundred thirty-eight trillion, three hundred eighty-three billion, three hundred ninety million, seven hundred forty thousand, six hundred eight".