138437686310 has 48 divisors (see below), whose sum is σ = 313029366048. Its totient is φ = 43149406080.

The previous prime is 138437686237. The next prime is 138437686319. The reversal of 138437686310 is 13686734831.

It is a super-2 number, since 2×138437686310² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138437686319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8163767 + ... + 8180706.

It is an arithmetic number, because the mean of its divisors is an integer number (6521445126).

Almost surely, 2^138437686310 is an apocalyptic number.

138437686310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138437686310 is an abundant number, since it is smaller than the sum of its proper divisors (174591679738).

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

138437686310 is a wasteful number, since it uses less digits than its factorization.

138437686310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16344509 (or 16344498 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 138437686310 in words is "one hundred thirty-eight billion, four hundred thirty-seven million, six hundred eighty-six thousand, three hundred ten".