137977673 has 2 divisors, whose sum is σ = 137977674. Its totient is φ = 137977672.

The previous prime is 137977663. The next prime is 137977703. The reversal of 137977673 is 376779731.

137977673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127531849 + 10445824 = 11293^2 + 3232^2 .

It is an emirp because it is prime and its reverse (376779731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137977673 - 2⁸ = 137977417 is a prime.

It is not a weakly prime, because it can be changed into another prime (137977613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68988836 + 68988837.

It is an arithmetic number, because the mean of its divisors is an integer number (68988837).

Almost surely, 2^137977673 is an apocalyptic number.

It is an amenable number.

137977673 is a deficient number, since it is larger than the sum of its proper divisors (1).

137977673 is an equidigital number, since it uses as much as digits as its factorization.

137977673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1166886, while the sum is 50.

The square root of 137977673 is about 11746.3897858023. The cubic root of 137977673 is about 516.7370546258.

The spelling of 137977673 in words is "one hundred thirty-seven million, nine hundred seventy-seven thousand, six hundred seventy-three".