138360435960 has 128 divisors (see below), whose sum is σ = 420078182400. Its totient is φ = 36452613120.

The previous prime is 138360435931. The next prime is 138360435989. The reversal of 138360435960 is 69534063831.

138360435960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138360435931) and next prime (138360435989).

It is a super-2 number, since 2×138360435960² (a number of 23 digits) contains 22 as substring.

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, 15705877 + ... + 15714683.

It is an arithmetic number, because the mean of its divisors is an integer number (3281860800).

Almost surely, 2^138360435960 is an apocalyptic number.

138360435960 is a gapful number since it is divisible by the number (10) 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 138360435960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210039091200).

138360435960 is an abundant number, since it is smaller than the sum of its proper divisors (281717746440).

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

138360435960 is a wasteful number, since it uses less digits than its factorization.

138360435960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 138360435960 in words is "one hundred thirty-eight billion, three hundred sixty million, four hundred thirty-five thousand, nine hundred sixty".