137746321 has 2 divisors, whose sum is σ = 137746322. Its totient is φ = 137746320.

The previous prime is 137746313. The next prime is 137746337. The reversal of 137746321 is 123647731.

137746321 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., 72863296 + 64883025 = 8536^2 + 8055^2 .

It is an emirp because it is prime and its reverse (123647731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137746321 - 2³ = 137746313 is a prime.

It is not a weakly prime, because it can be changed into another prime (137746351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68873160 + 68873161.

It is an arithmetic number, because the mean of its divisors is an integer number (68873161).

Almost surely, 2^137746321 is an apocalyptic number.

It is an amenable number.

137746321 is a deficient number, since it is larger than the sum of its proper divisors (1).

137746321 is an equidigital number, since it uses as much as digits as its factorization.

137746321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21168, while the sum is 34.

The square root of 137746321 is about 11736.5378625896. The cubic root of 137746321 is about 516.4480826793.

The spelling of 137746321 in words is "one hundred thirty-seven million, seven hundred forty-six thousand, three hundred twenty-one".