137007257 has 2 divisors, whose sum is σ = 137007258. Its totient is φ = 137007256.

The previous prime is 137007253. The next prime is 137007289. The reversal of 137007257 is 752700731.

It is an a-pointer prime, because the next prime (137007289) can be obtained adding 137007257 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136515856 + 491401 = 11684^2 + 701^2 .

It is a cyclic number.

It is not a de Polignac number, because 137007257 - 2² = 137007253 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137007253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68503628 + 68503629.

It is an arithmetic number, because the mean of its divisors is an integer number (68503629).

Almost surely, 2^137007257 is an apocalyptic number.

It is an amenable number.

137007257 is a deficient number, since it is larger than the sum of its proper divisors (1).

137007257 is an equidigital number, since it uses as much as digits as its factorization.

137007257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 137007257 is about 11705.0099102906. The cubic root of 137007257 is about 515.5227757779.

Adding to 137007257 its reverse (752700731), we get a palindrome (889707988).

The spelling of 137007257 in words is "one hundred thirty-seven million, seven thousand, two hundred fifty-seven".