138836567760 has 160 divisors (see below), whose sum is σ = 484666122240. Its totient is φ = 32571609600.

The previous prime is 138836567677. The next prime is 138836567773. The reversal of 138836567760 is 67765638831.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 138836567694 and 138836567703.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 766380 + ... + 930059.

It is an arithmetic number, because the mean of its divisors is an integer number (3029163264).

Almost surely, 2^138836567760 is an apocalyptic number.

138836567760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138836567760 is an abundant number, since it is smaller than the sum of its proper divisors (345829554480).

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

138836567760 is a wasteful number, since it uses less digits than its factorization.

138836567760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696497 (or 1696491 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 138836567760 in words is "one hundred thirty-eight billion, eight hundred thirty-six million, five hundred sixty-seven thousand, seven hundred sixty".