137285563416606 has 96 divisors (see below), whose sum is σ = 335274027079680. Its totient is φ = 40222033012800.

The previous prime is 137285563416601. The next prime is 137285563416613. The reversal of 137285563416606 is 606614365582731.

137285563416606 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 8 + 5 + 5 + 6 + 3 + 4 + 16 + 606 = 666.

It is a super-2 number, since 2×137285563416606² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137285563416601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3899890 + ... + 17022933.

It is an arithmetic number, because the mean of its divisors is an integer number (3492437782080).

Almost surely, 2^{137285563416606} is an apocalyptic number.

137285563416606 is an abundant number, since it is smaller than the sum of its proper divisors (197988463663074).

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

137285563416606 is a wasteful number, since it uses less digits than its factorization.

137285563416606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20923942 (or 20923939 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 137285563416606 in words is "one hundred thirty-seven trillion, two hundred eighty-five billion, five hundred sixty-three million, four hundred sixteen thousand, six hundred six".