137053073 has 2 divisors, whose sum is σ = 137053074. Its totient is φ = 137053072.

The previous prime is 137053057. The next prime is 137053121. The reversal of 137053073 is 370350731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114233344 + 22819729 = 10688^2 + 4777^2 .

It is a cyclic number.

It is not a de Polignac number, because 137053073 - 2⁴ = 137053057 is a prime.

It is not a weakly prime, because it can be changed into another prime (137053013) 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, 68526536 + 68526537.

It is an arithmetic number, because the mean of its divisors is an integer number (68526537).

Almost surely, 2^137053073 is an apocalyptic number.

It is an amenable number.

137053073 is a deficient number, since it is larger than the sum of its proper divisors (1).

137053073 is an equidigital number, since it uses as much as digits as its factorization.

137053073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6615, while the sum is 29.

The square root of 137053073 is about 11706.9668573888. The cubic root of 137053073 is about 515.5802339489.

The spelling of 137053073 in words is "one hundred thirty-seven million, fifty-three thousand, seventy-three".