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137219604481 is a prime number
BaseRepresentation
bin111111111001011101…
…1010000000000000001
3111010012001220011010101
41333302323100000001
54222011204320411
6143012100202401
712625300251631
oct1776273200001
9433161804111
10137219604481
1153215986903
1222716699401
13cc2a83a14b
1468da26c6c1
153881aaa8c1
hex1ff2ed0001

137219604481 has 2 divisors, whose sum is σ = 137219604482. Its totient is φ = 137219604480.

The previous prime is 137219604439. The next prime is 137219604517. The reversal of 137219604481 is 184406912731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95443923600 + 41775680881 = 308940^2 + 204391^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137219604481 is a prime.

It is a super-2 number, since 2×1372196044812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137219604881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68609802240 + 68609802241.

It is an arithmetic number, because the mean of its divisors is an integer number (68609802241).

Almost surely, 2137219604481 is an apocalyptic number.

It is an amenable number.

137219604481 is a deficient number, since it is larger than the sum of its proper divisors (1).

137219604481 is an equidigital number, since it uses as much as digits as its factorization.

137219604481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 137219604481 in words is "one hundred thirty-seven billion, two hundred nineteen million, six hundred four thousand, four hundred eighty-one".