137686075428841 has 9 divisors (see below), whose sum is σ = 138051013746711. Its totient is φ = 137322099382392.

The previous prime is 137686075428793. The next prime is 137686075428887. The reversal of 137686075428841 is 148824570686731.

The square root of 137686075428841 is 11733971.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 131273045928025 + 6413029500816 = 11457445^2 + 2532396^2 .

It is not a de Polignac number, because 137686075428841 - 2¹¹ = 137686075426793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137686075428241) 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 8 ways as a sum of consecutive naturals, for example, 4494095575 + ... + 4494126211.

Almost surely, 2^{137686075428841} is an apocalyptic number.

137686075428841 is the 11733971-st square number.

137686075428841 is the 5866986-th centered octagonal number.

It is an amenable number.

137686075428841 is a deficient number, since it is larger than the sum of its proper divisors (364938317870).

137686075428841 is an frugal number, since it uses more digits than its factorization.

137686075428841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62040 (or 31020 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 70.

The spelling of 137686075428841 in words is "one hundred thirty-seven trillion, six hundred eighty-six billion, seventy-five million, four hundred twenty-eight thousand, eight hundred forty-one".