137722508617 has 2 divisors, whose sum is σ = 137722508618. Its totient is φ = 137722508616.

The previous prime is 137722508587. The next prime is 137722508683. The reversal of 137722508617 is 716805227731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137204308921 + 518199696 = 370411^2 + 22764^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137722508617 is a prime.

It is a super-3 number, since 3×137722508617³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (137722508687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68861254308 + 68861254309.

It is an arithmetic number, because the mean of its divisors is an integer number (68861254309).

Almost surely, 2^137722508617 is an apocalyptic number.

It is an amenable number.

137722508617 is a deficient number, since it is larger than the sum of its proper divisors (1).

137722508617 is an equidigital number, since it uses as much as digits as its factorization.

137722508617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 137722508617 in words is "one hundred thirty-seven billion, seven hundred twenty-two million, five hundred eight thousand, six hundred seventeen".