137137057 has 2 divisors, whose sum is σ = 137137058. Its totient is φ = 137137056.

The previous prime is 137137001. The next prime is 137137061. The reversal of 137137057 is 750731731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124456336 + 12680721 = 11156^2 + 3561^2 .

It is a cyclic number.

It is not a de Polignac number, because 137137057 - 2²³ = 128748449 is a prime.

It is not a weakly prime, because it can be changed into another prime (137137457) 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, 68568528 + 68568529.

It is an arithmetic number, because the mean of its divisors is an integer number (68568529).

Almost surely, 2^137137057 is an apocalyptic number.

It is an amenable number.

137137057 is a deficient number, since it is larger than the sum of its proper divisors (1).

137137057 is an equidigital number, since it uses as much as digits as its factorization.

137137057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15435, while the sum is 34.

The square root of 137137057 is about 11710.5532320211. The cubic root of 137137057 is about 515.6855256382.

Adding to 137137057 its reverse (750731731), we get a palindrome (887868788).

The spelling of 137137057 in words is "one hundred thirty-seven million, one hundred thirty-seven thousand, fifty-seven".