138305466288 has 120 divisors (see below), whose sum is σ = 447089147856. Its totient is φ = 39445401600.

The previous prime is 138305466283. The next prime is 138305466361. The reversal of 138305466288 is 882664503831.

138305466288 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 0 + 5 + 4 + 6 + 628 + 8 = 666.

138305466288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138305466288² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138305466281) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2541133 + ... + 2594988.

Almost surely, 2^138305466288 is an apocalyptic number.

138305466288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138305466288 is an abundant number, since it is smaller than the sum of its proper divisors (308783681568).

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

138305466288 is a wasteful number, since it uses less digits than its factorization.

138305466288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136163 (or 5136154 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 138305466288 in words is "one hundred thirty-eight billion, three hundred five million, four hundred sixty-six thousand, two hundred eighty-eight".