137937913 has 2 divisors, whose sum is σ = 137937914. Its totient is φ = 137937912.

The previous prime is 137937911. The next prime is 137937971. The reversal of 137937913 is 319739731.

137937913 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., 113465104 + 24472809 = 10652^2 + 4947^2 .

It is a cyclic number.

It is not a de Polignac number, because 137937913 - 2¹ = 137937911 is a prime.

Together with 137937911, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 137937913.

It is not a weakly prime, because it can be changed into another prime (137937911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68968956 + 68968957.

It is an arithmetic number, because the mean of its divisors is an integer number (68968957).

Almost surely, 2^137937913 is an apocalyptic number.

It is an amenable number.

137937913 is a deficient number, since it is larger than the sum of its proper divisors (1).

137937913 is an equidigital number, since it uses as much as digits as its factorization.

137937913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 107163, while the sum is 43.

The square root of 137937913 is about 11744.6972289625. The cubic root of 137937913 is about 516.6874150992.

The spelling of 137937913 in words is "one hundred thirty-seven million, nine hundred thirty-seven thousand, nine hundred thirteen".