137001257 has 2 divisors, whose sum is σ = 137001258. Its totient is φ = 137001256.

The previous prime is 137001203. The next prime is 137001259. The reversal of 137001257 is 752100731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126990361 + 10010896 = 11269^2 + 3164^2 .

It is a cyclic number.

It is not a de Polignac number, because 137001257 - 2¹⁴ = 136984873 is a prime.

Together with 137001259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137001259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68500628 + 68500629.

It is an arithmetic number, because the mean of its divisors is an integer number (68500629).

Almost surely, 2^137001257 is an apocalyptic number.

It is an amenable number.

137001257 is a deficient number, since it is larger than the sum of its proper divisors (1).

137001257 is an equidigital number, since it uses as much as digits as its factorization.

137001257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 137001257 is about 11704.7536069752. The cubic root of 137001257 is about 515.5152501868.

Adding to 137001257 its reverse (752100731), we get a palindrome (889101988).

The spelling of 137001257 in words is "one hundred thirty-seven million, one thousand, two hundred fifty-seven".