137977513 has 2 divisors, whose sum is σ = 137977514. Its totient is φ = 137977512.

The previous prime is 137977481. The next prime is 137977517. The reversal of 137977513 is 315779731.

137977513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75203584 + 62773929 = 8672^2 + 7923^2 .

It is a cyclic number.

It is not a de Polignac number, because 137977513 - 2⁵ = 137977481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137977513.

It is not a weakly prime, because it can be changed into another prime (137977517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68988756 + 68988757.

It is an arithmetic number, because the mean of its divisors is an integer number (68988757).

Almost surely, 2^137977513 is an apocalyptic number.

It is an amenable number.

137977513 is a deficient number, since it is larger than the sum of its proper divisors (1).

137977513 is an equidigital number, since it uses as much as digits as its factorization.

137977513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 138915, while the sum is 43.

The square root of 137977513 is about 11746.3829751971. The cubic root of 137977513 is about 516.7368548883.

The spelling of 137977513 in words is "one hundred thirty-seven million, nine hundred seventy-seven thousand, five hundred thirteen".