137135556513 has 12 divisors (see below), whose sum is σ = 198095165268. Its totient is φ = 91418870880.

The previous prime is 137135556457. The next prime is 137135556539. The reversal of 137135556513 is 315655531731.

137135556513 is a `hidden beast` number, since 1 + 3 + 71 + 3 + 5 + 5 + 565 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112777087329 + 24358469184 = 335823^2 + 156072^2 .

It is not a de Polignac number, because 137135556513 - 2⁶ = 137135556449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137135556583) 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 11 ways as a sum of consecutive naturals, for example, 218670 + ... + 567527.

It is an arithmetic number, because the mean of its divisors is an integer number (16507930439).

Almost surely, 2^137135556513 is an apocalyptic number.

It is an amenable number.

137135556513 is a deficient number, since it is larger than the sum of its proper divisors (60959608755).

137135556513 is a wasteful number, since it uses less digits than its factorization.

137135556513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805584 (or 805581 counting only the distinct ones).

The product of its digits is 708750, while the sum is 45.

The spelling of 137135556513 in words is "one hundred thirty-seven billion, one hundred thirty-five million, five hundred fifty-six thousand, five hundred thirteen".