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137233661353 is a prime number
BaseRepresentation
bin111111111001111000…
…0110111110110101001
3111010020001100022112021
41333303300313312221
54222023304130403
6143013321344441
712625530606025
oct1776360676651
9433201308467
10137233661353
1153222907a58
122271b338121
13cc3071c419
1468dc08b385
153882e358bd
hex1ff3c37da9

137233661353 has 2 divisors, whose sum is σ = 137233661354. Its totient is φ = 137233661352.

The previous prime is 137233661347. The next prime is 137233661363. The reversal of 137233661353 is 353166332731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89669104704 + 47564556649 = 299448^2 + 218093^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137233661353 is a prime.

It is not a weakly prime, because it can be changed into another prime (137233661363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68616830676 + 68616830677.

It is an arithmetic number, because the mean of its divisors is an integer number (68616830677).

Almost surely, 2137233661353 is an apocalyptic number.

It is an amenable number.

137233661353 is a deficient number, since it is larger than the sum of its proper divisors (1).

137233661353 is an equidigital number, since it uses as much as digits as its factorization.

137233661353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 612360, while the sum is 43.

The spelling of 137233661353 in words is "one hundred thirty-seven billion, two hundred thirty-three million, six hundred sixty-one thousand, three hundred fifty-three".