137520337 has 2 divisors, whose sum is σ = 137520338. Its totient is φ = 137520336.

The previous prime is 137520307. The next prime is 137520353. The reversal of 137520337 is 733025731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134931456 + 2588881 = 11616^2 + 1609^2 .

It is an emirp because it is prime and its reverse (733025731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137520337 - 2¹⁹ = 136996049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137520299 and 137520308.

It is not a weakly prime, because it can be changed into another prime (137520307) 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 as a sum of consecutive naturals, namely, 68760168 + 68760169.

It is an arithmetic number, because the mean of its divisors is an integer number (68760169).

Almost surely, 2^137520337 is an apocalyptic number.

It is an amenable number.

137520337 is a deficient number, since it is larger than the sum of its proper divisors (1).

137520337 is an equidigital number, since it uses as much as digits as its factorization.

137520337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 31.

The square root of 137520337 is about 11726.9065400898. The cubic root of 137520337 is about 516.1655031170.

It can be divided in two parts, 1375 and 20337, that added together give a palindrome (21712).

The spelling of 137520337 in words is "one hundred thirty-seven million, five hundred twenty thousand, three hundred thirty-seven".