137078101 has 2 divisors, whose sum is σ = 137078102. Its totient is φ = 137078100.

The previous prime is 137078083. The next prime is 137078111. The reversal of 137078101 is 101870731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132020100 + 5058001 = 11490^2 + 2249^2 .

It is a cyclic number.

It is not a de Polignac number, because 137078101 - 2⁷ = 137077973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137078101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137078111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68539050 + 68539051.

It is an arithmetic number, because the mean of its divisors is an integer number (68539051).

Almost surely, 2^137078101 is an apocalyptic number.

It is an amenable number.

137078101 is a deficient number, since it is larger than the sum of its proper divisors (1).

137078101 is an equidigital number, since it uses as much as digits as its factorization.

137078101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 28.

The square root of 137078101 is about 11708.0357447353. The cubic root of 137078101 is about 515.6116163334.

The spelling of 137078101 in words is "one hundred thirty-seven million, seventy-eight thousand, one hundred one".