137838300577 has 2 divisors, whose sum is σ = 137838300578. Its totient is φ = 137838300576.

The previous prime is 137838300557. The next prime is 137838300617. The reversal of 137838300577 is 775003838731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112509259776 + 25329040801 = 335424^2 + 159151^2 .

It is a cyclic number.

It is not a de Polignac number, because 137838300577 - 2¹⁹ = 137837776289 is a prime.

It is not a weakly prime, because it can be changed into another prime (137838300557) 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, 68919150288 + 68919150289.

It is an arithmetic number, because the mean of its divisors is an integer number (68919150289).

Almost surely, 2^137838300577 is an apocalyptic number.

It is an amenable number.

137838300577 is a deficient number, since it is larger than the sum of its proper divisors (1).

137838300577 is an equidigital number, since it uses as much as digits as its factorization.

137838300577 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 52.

The spelling of 137838300577 in words is "one hundred thirty-seven billion, eight hundred thirty-eight million, three hundred thousand, five hundred seventy-seven".