137048137 has 2 divisors, whose sum is σ = 137048138. Its totient is φ = 137048136.

The previous prime is 137048123. The next prime is 137048141. The reversal of 137048137 is 731840731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107931321 + 29116816 = 10389^2 + 5396^2 .

It is a cyclic number.

It is not a de Polignac number, because 137048137 - 2¹¹ = 137046089 is a prime.

It is not a weakly prime, because it can be changed into another prime (137048167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68524068 + 68524069.

It is an arithmetic number, because the mean of its divisors is an integer number (68524069).

Almost surely, 2^137048137 is an apocalyptic number.

It is an amenable number.

137048137 is a deficient number, since it is larger than the sum of its proper divisors (1).

137048137 is an equidigital number, since it uses as much as digits as its factorization.

137048137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 137048137 is about 11706.7560408509. The cubic root of 137048137 is about 515.5740442918.

Adding to 137048137 its reverse (731840731), we get a palindrome (868888868).

The spelling of 137048137 in words is "one hundred thirty-seven million, forty-eight thousand, one hundred thirty-seven".