137531017 has 12 divisors (see below), whose sum is σ = 149355084. Its totient is φ = 126584640.

The previous prime is 137531011. The next prime is 137531029. The reversal of 137531017 is 710135731.

It can be written as a sum of positive squares in 6 ways, for example, as 51208336 + 86322681 = 7156^2 + 9291^2 .

It is not a de Polignac number, because 137531017 - 2¹¹ = 137528969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137531011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70183 + ... + 72115.

It is an arithmetic number, because the mean of its divisors is an integer number (12446257).

Almost surely, 2^137531017 is an apocalyptic number.

It is an amenable number.

137531017 is a deficient number, since it is larger than the sum of its proper divisors (11824067).

137531017 is a wasteful number, since it uses less digits than its factorization.

137531017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 137531017 is about 11727.3618943051. The cubic root of 137531017 is about 516.1788647889.

Adding to 137531017 its reverse (710135731), we get a palindrome (847666748).

The spelling of 137531017 in words is "one hundred thirty-seven million, five hundred thirty-one thousand, seventeen".