137563946682 has 16 divisors (see below), whose sum is σ = 275591859840. Its totient is φ = 45777321152.

The previous prime is 137563946669. The next prime is 137563946683. The reversal of 137563946682 is 286649365731.

137563946682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×137563946682³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (137563946683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19328082 + ... + 19335197.

It is an arithmetic number, because the mean of its divisors is an integer number (17224491240).

Almost surely, 2^137563946682 is an apocalyptic number.

137563946682 is an abundant number, since it is smaller than the sum of its proper divisors (138027913158).

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

137563946682 is a wasteful number, since it uses less digits than its factorization.

137563946682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38663877.

The product of its digits is 39191040, while the sum is 60.

The spelling of 137563946682 in words is "one hundred thirty-seven billion, five hundred sixty-three million, nine hundred forty-six thousand, six hundred eighty-two".