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137133349 is a prime number
BaseRepresentation
bin10000010110001…
…11110100100101
3100120001002120221
420023013310211
5240101231344
621335124341
73253420453
oct1013076445
9316032527
10137133349
1170454351
1239b136b1
13225455c2
14142d99d3
15c08c184
hex82c7d25

137133349 has 2 divisors, whose sum is σ = 137133350. Its totient is φ = 137133348.

The previous prime is 137133343. The next prime is 137133371. The reversal of 137133349 is 943331731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136469124 + 664225 = 11682^2 + 815^2 .

It is a cyclic number.

It is not a de Polignac number, because 137133349 - 211 = 137131301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137133343) 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, 68566674 + 68566675.

It is an arithmetic number, because the mean of its divisors is an integer number (68566675).

Almost surely, 2137133349 is an apocalyptic number.

It is an amenable number.

137133349 is a deficient number, since it is larger than the sum of its proper divisors (1).

137133349 is an equidigital number, since it uses as much as digits as its factorization.

137133349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20412, while the sum is 34.

The square root of 137133349 is about 11710.3949122137. The cubic root of 137133349 is about 515.6808777840.

The spelling of 137133349 in words is "one hundred thirty-seven million, one hundred thirty-three thousand, three hundred forty-nine".