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137355353 is a prime number
BaseRepresentation
bin10000010111111…
…10000001011001
3100120110101010022
420023332001121
5240130332403
621344000225
73255333632
oct1013760131
9316411108
10137355353
1170596123
123a000075
13225c2675
1414356889
15c0d2d38
hex82fe059

137355353 has 2 divisors, whose sum is σ = 137355354. Its totient is φ = 137355352.

The previous prime is 137355343. The next prime is 137355367. The reversal of 137355353 is 353553731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117570649 + 19784704 = 10843^2 + 4448^2 .

It is an emirp because it is prime and its reverse (353553731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137355353 - 212 = 137351257 is a prime.

It is not a weakly prime, because it can be changed into another prime (137355343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68677676 + 68677677.

It is an arithmetic number, because the mean of its divisors is an integer number (68677677).

Almost surely, 2137355353 is an apocalyptic number.

It is an amenable number.

137355353 is a deficient number, since it is larger than the sum of its proper divisors (1).

137355353 is an equidigital number, since it uses as much as digits as its factorization.

137355353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70875, while the sum is 35.

The square root of 137355353 is about 11719.8700078115. The cubic root of 137355353 is about 515.9590048656.

The spelling of 137355353 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, three hundred fifty-three".