137201268017 has 6 divisors (see below), whose sum is σ = 150808005474. Its totient is φ = 124728425360.

The previous prime is 137201267963. The next prime is 137201268047. The reversal of 137201268017 is 710862102731.

It can be written as a sum of positive squares in only one way, i.e., 113158904881 + 24042363136 = 336391^2 + 155056^2 .

It is not a de Polignac number, because 137201268017 - 2²⁰ = 137200219441 is a prime.

It is a super-2 number, since 2×137201268017² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137201268047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 566947268 + ... + 566947509.

It is an arithmetic number, because the mean of its divisors is an integer number (25134667579).

Almost surely, 2^137201268017 is an apocalyptic number.

It is an amenable number.

137201268017 is a deficient number, since it is larger than the sum of its proper divisors (13606737457).

137201268017 is a wasteful number, since it uses less digits than its factorization.

137201268017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133894799 (or 1133894788 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 137201268017 in words is "one hundred thirty-seven billion, two hundred one million, two hundred sixty-eight thousand, seventeen".