137875381006060 has 48 divisors (see below), whose sum is σ = 291991248047520. Its totient is φ = 54683861506560.

The previous prime is 137875381005983. The next prime is 137875381006063. The reversal of 137875381006060 is 60600183578731.

It is a junction number, because it is equal to n+sod(n) for n = 137875381005992 and 137875381006010.

It is not an unprimeable number, because it can be changed into a prime (137875381006063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26935911 + ... + 31643230.

It is an arithmetic number, because the mean of its divisors is an integer number (6083151000990).

Almost surely, 2^{137875381006060} is an apocalyptic number.

137875381006060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137875381006060 is an abundant number, since it is smaller than the sum of its proper divisors (154115867041460).

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

137875381006060 is a wasteful number, since it uses less digits than its factorization.

137875381006060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58580146 (or 58580144 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 137875381006060 in words is "one hundred thirty-seven trillion, eight hundred seventy-five billion, three hundred eighty-one million, six thousand, sixty".