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137442121 is a prime number
BaseRepresentation
bin10000011000100…
…11001101001001
3100120121210010221
420030103031021
5240141121441
621345510041
73256144615
oct1014231511
9316553127
10137442121
1170645333
123a042321
1322622ccb
141437a345
15c0ed8d1
hex8313349

137442121 has 2 divisors, whose sum is σ = 137442122. Its totient is φ = 137442120.

The previous prime is 137442119. The next prime is 137442131. The reversal of 137442121 is 121244731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104264521 + 33177600 = 10211^2 + 5760^2 .

It is a cyclic number.

It is not a de Polignac number, because 137442121 - 21 = 137442119 is a prime.

Together with 137442119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137442101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68721060 + 68721061.

It is an arithmetic number, because the mean of its divisors is an integer number (68721061).

Almost surely, 2137442121 is an apocalyptic number.

It is an amenable number.

137442121 is a deficient number, since it is larger than the sum of its proper divisors (1).

137442121 is an equidigital number, since it uses as much as digits as its factorization.

137442121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 25.

The square root of 137442121 is about 11723.5711709359. The cubic root of 137442121 is about 516.0676265451.

Adding to 137442121 its reverse (121244731), we get a palindrome (258686852).

The spelling of 137442121 in words is "one hundred thirty-seven million, four hundred forty-two thousand, one hundred twenty-one".