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137409004261 is a prime number
BaseRepresentation
bin111111111111000110…
…1110000001011100101
3111010200021021122210001
41333332031300023211
54222403201114021
6143042543501301
712633060156604
oct1777615601345
9433607248701
10137409004261
1153302889751
1222769bb7831
13cc5ab52619
146917491a3b
15389351e091
hex1ffe3702e5

137409004261 has 2 divisors, whose sum is σ = 137409004262. Its totient is φ = 137409004260.

The previous prime is 137409004253. The next prime is 137409004279. The reversal of 137409004261 is 162400904731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123196788036 + 14212216225 = 350994^2 + 119215^2 .

It is a cyclic number.

It is not a de Polignac number, because 137409004261 - 23 = 137409004253 is a prime.

It is a super-2 number, since 2×1374090042612 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137409004261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137409004241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68704502130 + 68704502131.

It is an arithmetic number, because the mean of its divisors is an integer number (68704502131).

Almost surely, 2137409004261 is an apocalyptic number.

It is an amenable number.

137409004261 is a deficient number, since it is larger than the sum of its proper divisors (1).

137409004261 is an equidigital number, since it uses as much as digits as its factorization.

137409004261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

Adding to 137409004261 its reverse (162400904731), we get a palindrome (299809908992).

The spelling of 137409004261 in words is "one hundred thirty-seven billion, four hundred nine million, four thousand, two hundred sixty-one".