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137298781 is a prime number
BaseRepresentation
bin10000010111100…
…00001101011101
3100120100111112001
420023300031131
5240122030111
621342442301
73255006664
oct1013601535
9316314461
10137298781
1170557674
1239b93391
13225a29a9
141433dddb
15c0c11c1
hex82f035d

137298781 has 2 divisors, whose sum is σ = 137298782. Its totient is φ = 137298780.

The previous prime is 137298773. The next prime is 137298809. The reversal of 137298781 is 187892731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124121881 + 13176900 = 11141^2 + 3630^2 .

It is a cyclic number.

It is not a de Polignac number, because 137298781 - 23 = 137298773 is a prime.

It is a super-3 number, since 3×1372987813 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137298701) 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, 68649390 + 68649391.

It is an arithmetic number, because the mean of its divisors is an integer number (68649391).

Almost surely, 2137298781 is an apocalyptic number.

It is an amenable number.

137298781 is a deficient number, since it is larger than the sum of its proper divisors (1).

137298781 is an equidigital number, since it uses as much as digits as its factorization.

137298781 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 169344, while the sum is 46.

The square root of 137298781 is about 11717.4562512518. The cubic root of 137298781 is about 515.8881598144. Note that the first 3 decimals are identical.

The spelling of 137298781 in words is "one hundred thirty-seven million, two hundred ninety-eight thousand, seven hundred eighty-one".