137244010413105 has 12 divisors (see below), whose sum is σ = 237889618049460. Its totient is φ = 73196805553632.

The previous prime is 137244010413073. The next prime is 137244010413179. The reversal of 137244010413105 is 501314010442731.

137244010413105 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 440 + 104 + 1 + 3 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19980256325184 + 117263754087921 = 4469928^2 + 10828839^2 .

It is not a de Polignac number, because 137244010413105 - 2⁵ = 137244010413073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137244010413105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1524933448990 + ... + 1524933449079.

It is an arithmetic number, because the mean of its divisors is an integer number (19824134837455).

Almost surely, 2^{137244010413105} is an apocalyptic number.

137244010413105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137244010413105 is a deficient number, since it is larger than the sum of its proper divisors (100645607636355).

137244010413105 is a wasteful number, since it uses less digits than its factorization.

137244010413105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049866898080 (or 3049866898077 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 137244010413105 its reverse (501314010442731), we get a palindrome (638558020855836).

The spelling of 137244010413105 in words is "one hundred thirty-seven trillion, two hundred forty-four billion, ten million, four hundred thirteen thousand, one hundred five".