138304063968 has 96 divisors (see below), whose sum is σ = 419020439040. Its totient is φ = 39124185600.

The previous prime is 138304063967. The next prime is 138304063969. The reversal of 138304063968 is 869360403831.

It is an interprime number because it is at equal distance from previous prime (138304063967) and next prime (138304063969).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×138304063968² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 138304063968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138304063967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950988 + ... + 1086731.

It is an arithmetic number, because the mean of its divisors is an integer number (4364796240).

Almost surely, 2^138304063968 is an apocalyptic number.

It is an amenable number.

138304063968 is an abundant number, since it is smaller than the sum of its proper divisors (280716375072).

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

138304063968 is a wasteful number, since it uses less digits than its factorization.

138304063968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037840 (or 2037832 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 138304063968 in words is "one hundred thirty-eight billion, three hundred four million, sixty-three thousand, nine hundred sixty-eight".