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137262337 is a prime number
BaseRepresentation
bin10000010111001…
…11010100000001
3100120021122112021
420023213110001
5240114343322
621342001441
73254465512
oct1013472401
9316248467
10137262337
1170532253
1239b76281
132258c224
1414330a09
15c0b54c7
hex82e7501

137262337 has 2 divisors, whose sum is σ = 137262338. Its totient is φ = 137262336.

The previous prime is 137262287. The next prime is 137262373. The reversal of 137262337 is 733262731.

Together with next prime (137262373) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115584001 + 21678336 = 10751^2 + 4656^2 .

It is a cyclic number.

It is not a de Polignac number, because 137262337 - 223 = 128873729 is a prime.

It is not a weakly prime, because it can be changed into another prime (137268337) 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, 68631168 + 68631169.

It is an arithmetic number, because the mean of its divisors is an integer number (68631169).

Almost surely, 2137262337 is an apocalyptic number.

It is an amenable number.

137262337 is a deficient number, since it is larger than the sum of its proper divisors (1).

137262337 is an equidigital number, since it uses as much as digits as its factorization.

137262337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 34.

The square root of 137262337 is about 11715.9010323577. The cubic root of 137262337 is about 515.8425107278.

The spelling of 137262337 in words is "one hundred thirty-seven million, two hundred sixty-two thousand, three hundred thirty-seven".