137242795761 has 48 divisors (see below), whose sum is σ = 211850542800. Its totient is φ = 85316198400.

The previous prime is 137242795759. The next prime is 137242795799. The reversal of 137242795761 is 167597242731.

137242795761 is a `hidden beast` number, since 1 + 3 + 72 + 427 + 95 + 7 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20073505761 + 117169290000 = 141681^2 + 342300^2 .

It is not a de Polignac number, because 137242795761 - 2¹ = 137242795759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137242795698 and 137242795707.

It is not an unprimeable number, because it can be changed into a prime (137242790761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9134091 + ... + 9149103.

It is an arithmetic number, because the mean of its divisors is an integer number (4413552975).

Almost surely, 2^137242795761 is an apocalyptic number.

It is an amenable number.

137242795761 is a deficient number, since it is larger than the sum of its proper divisors (74607747039).

137242795761 is a wasteful number, since it uses less digits than its factorization.

137242795761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15586 (or 15583 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The spelling of 137242795761 in words is "one hundred thirty-seven billion, two hundred forty-two million, seven hundred ninety-five thousand, seven hundred sixty-one".