Search a number
-
+
137439756229 is a prime number
BaseRepresentation
bin1000000000000000001…
…1000011111111000101
3111010202102011000112211
42000000003003333011
54222434034144404
6143050002543421
712633612436516
oct2000003037705
9433672130484
10137439756229
11533191830a6
1222778367b71
13cc6432b959
14691b5b8a0d
153896095b04
hex20000c3fc5

137439756229 has 2 divisors, whose sum is σ = 137439756230. Its totient is φ = 137439756228.

The previous prime is 137439756169. The next prime is 137439756263. The reversal of 137439756229 is 922657934731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119484292225 + 17955464004 = 345665^2 + 133998^2 .

It is a cyclic number.

It is not a de Polignac number, because 137439756229 - 217 = 137439625157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137439756269) 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, 68719878114 + 68719878115.

It is an arithmetic number, because the mean of its divisors is an integer number (68719878115).

Almost surely, 2137439756229 is an apocalyptic number.

It is an amenable number.

137439756229 is a deficient number, since it is larger than the sum of its proper divisors (1).

137439756229 is an equidigital number, since it uses as much as digits as its factorization.

137439756229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17146080, while the sum is 58.

The spelling of 137439756229 in words is "one hundred thirty-seven billion, four hundred thirty-nine million, seven hundred fifty-six thousand, two hundred twenty-nine".