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137242349 is a prime number
BaseRepresentation
bin10000010111000…
…10011011101101
3100120020122002222
420023202123231
5240113223344
621341325125
73254353316
oct1013423355
9316218088
10137242349
1170519232
1239b667a5
13225830ba
141432760d
15c0ae5ee
hex82e26ed

137242349 has 2 divisors, whose sum is σ = 137242350. Its totient is φ = 137242348.

The previous prime is 137242289. The next prime is 137242351. The reversal of 137242349 is 943242731.

137242349 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., 130942249 + 6300100 = 11443^2 + 2510^2 .

It is an emirp because it is prime and its reverse (943242731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137242349 is a prime.

It is a Sophie Germain prime.

Together with 137242351, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137242249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68621174 + 68621175.

It is an arithmetic number, because the mean of its divisors is an integer number (68621175).

Almost surely, 2137242349 is an apocalyptic number.

It is an amenable number.

137242349 is a deficient number, since it is larger than the sum of its proper divisors (1).

137242349 is an equidigital number, since it uses as much as digits as its factorization.

137242349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 35.

The square root of 137242349 is about 11715.0479725864. The cubic root of 137242349 is about 515.8174706942.

The spelling of 137242349 in words is "one hundred thirty-seven million, two hundred forty-two thousand, three hundred forty-nine".