137688913 has 2 divisors, whose sum is σ = 137688914. Its totient is φ = 137688912.

The previous prime is 137688911. The next prime is 137688917. The reversal of 137688913 is 319886731.

137688913 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., 136702864 + 986049 = 11692^2 + 993^2 .

It is a cyclic number.

It is not a de Polignac number, because 137688913 - 2¹ = 137688911 is a prime.

Together with 137688911, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137688911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68844456 + 68844457.

It is an arithmetic number, because the mean of its divisors is an integer number (68844457).

Almost surely, 2^137688913 is an apocalyptic number.

It is an amenable number.

137688913 is a deficient number, since it is larger than the sum of its proper divisors (1).

137688913 is an equidigital number, since it uses as much as digits as its factorization.

137688913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 217728, while the sum is 46.

The square root of 137688913 is about 11734.0919120314. The cubic root of 137688913 is about 516.3763266883.

It can be divided in two parts, 137688 and 913, that added together give a triangular number (138601 = T₅₂₆).

The spelling of 137688913 in words is "one hundred thirty-seven million, six hundred eighty-eight thousand, nine hundred thirteen".