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137191393 is a prime number
BaseRepresentation
bin10000010110101…
…01111111100001
3100120011001012201
420023111333201
5240110111033
621340253201
73254051623
oct1013257741
9316131181
10137191393
1170493a19
1239b41201
1322565b51
1414312c13
15c09e47d
hex82d5fe1

137191393 has 2 divisors, whose sum is σ = 137191394. Its totient is φ = 137191392.

The previous prime is 137191387. The next prime is 137191423. The reversal of 137191393 is 393191731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137170944 + 20449 = 11712^2 + 143^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137191393 is a prime.

It is not a weakly prime, because it can be changed into another prime (137191333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68595696 + 68595697.

It is an arithmetic number, because the mean of its divisors is an integer number (68595697).

Almost surely, 2137191393 is an apocalyptic number.

It is an amenable number.

137191393 is a deficient number, since it is larger than the sum of its proper divisors (1).

137191393 is an equidigital number, since it uses as much as digits as its factorization.

137191393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15309, while the sum is 37.

The square root of 137191393 is about 11712.8729609776. The cubic root of 137191393 is about 515.7536243939.

The spelling of 137191393 in words is "one hundred thirty-seven million, one hundred ninety-one thousand, three hundred ninety-three".