138813285105 has 48 divisors (see below), whose sum is σ = 263815890624. Its totient is φ = 66961722240.

The previous prime is 138813285101. The next prime is 138813285109. The reversal of 138813285105 is 501582318831.

138813285105 is a `hidden beast` number, since 1 + 38 + 81 + 3 + 28 + 510 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (138813285101) and next prime (138813285109).

It is not a de Polignac number, because 138813285105 - 2² = 138813285101 is a prime.

It is a super-2 number, since 2×138813285105² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138813285101) 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 47 ways as a sum of consecutive naturals, for example, 614239 + ... + 809268.

It is an arithmetic number, because the mean of its divisors is an integer number (5496164388).

Almost surely, 2^138813285105 is an apocalyptic number.

138813285105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138813285105 is a deficient number, since it is larger than the sum of its proper divisors (125002605519).

138813285105 is a wasteful number, since it uses less digits than its factorization.

138813285105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423726 (or 1423723 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 138813285105 in words is "one hundred thirty-eight billion, eight hundred thirteen million, two hundred eighty-five thousand, one hundred five".