138161430528 has 224 divisors, whose sum is σ = 407463296832. Its totient is φ = 41287680000.

The previous prime is 138161430497. The next prime is 138161430559. The reversal of 138161430528 is 825034161831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138161430497) and next prime (138161430559).

It is a self number, because there is not a number n which added to its sum of digits gives 138161430528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19731028 + ... + 19738028.

Almost surely, 2^138161430528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138161430528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203731648416).

138161430528 is an abundant number, since it is smaller than the sum of its proper divisors (269301866304).

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

138161430528 is an equidigital number, since it uses as much as digits as its factorization.

138161430528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 138161430528 in words is "one hundred thirty-eight billion, one hundred sixty-one million, four hundred thirty thousand, five hundred twenty-eight".