137514137 has 2 divisors, whose sum is σ = 137514138. Its totient is φ = 137514136.

The previous prime is 137514127. The next prime is 137514187. The reversal of 137514137 is 731415731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115433536 + 22080601 = 10744^2 + 4699^2 .

It is an emirp because it is prime and its reverse (731415731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137514137 - 2⁴ = 137514121 is a prime.

It is not a weakly prime, because it can be changed into another prime (137514127) 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, 68757068 + 68757069.

It is an arithmetic number, because the mean of its divisors is an integer number (68757069).

Almost surely, 2^137514137 is an apocalyptic number.

It is an amenable number.

137514137 is a deficient number, since it is larger than the sum of its proper divisors (1).

137514137 is an equidigital number, since it uses as much as digits as its factorization.

137514137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 32.

The square root of 137514137 is about 11726.6421877705. The cubic root of 137514137 is about 516.1577460238.

Adding to 137514137 its reverse (731415731), we get a palindrome (868929868).

The spelling of 137514137 in words is "one hundred thirty-seven million, five hundred fourteen thousand, one hundred thirty-seven".