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137378065541 is a prime number
BaseRepresentation
bin111111111110001011…
…1101110110010000101
3111010121010001210211112
41333330113232302011
54222322241044131
6143035520414405
712632233201343
oct1777427566205
9433533053745
10137378065541
1153297377a62
122275b777405
13cc5460c2a2
14691331a993
15389095c02b
hex1ffc5eec85

137378065541 has 2 divisors, whose sum is σ = 137378065542. Its totient is φ = 137378065540.

The previous prime is 137378065537. The next prime is 137378065571. The reversal of 137378065541 is 145560873731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116244174916 + 21133890625 = 340946^2 + 145375^2 .

It is a cyclic number.

It is not a de Polignac number, because 137378065541 - 22 = 137378065537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137378065541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137378065571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68689032770 + 68689032771.

It is an arithmetic number, because the mean of its divisors is an integer number (68689032771).

Almost surely, 2137378065541 is an apocalyptic number.

It is an amenable number.

137378065541 is a deficient number, since it is larger than the sum of its proper divisors (1).

137378065541 is an equidigital number, since it uses as much as digits as its factorization.

137378065541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 137378065541 in words is "one hundred thirty-seven billion, three hundred seventy-eight million, sixty-five thousand, five hundred forty-one".