137672604257 has 2 divisors, whose sum is σ = 137672604258. Its totient is φ = 137672604256.

The previous prime is 137672604233. The next prime is 137672604283. The reversal of 137672604257 is 752406276731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94401948001 + 43270656256 = 307249^2 + 208016^2 .

It is a cyclic number.

It is not a de Polignac number, because 137672604257 - 2⁸ = 137672604001 is a prime.

It is not a weakly prime, because it can be changed into another prime (137672604227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68836302128 + 68836302129.

It is an arithmetic number, because the mean of its divisors is an integer number (68836302129).

Almost surely, 2^137672604257 is an apocalyptic number.

It is an amenable number.

137672604257 is a deficient number, since it is larger than the sum of its proper divisors (1).

137672604257 is an equidigital number, since it uses as much as digits as its factorization.

137672604257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2963520, while the sum is 50.

The spelling of 137672604257 in words is "one hundred thirty-seven billion, six hundred seventy-two million, six hundred four thousand, two hundred fifty-seven".