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137106460180357 is a prime number
BaseRepresentation
bin11111001011001010010101…
…110110101111111110000101
3122222110020201221120202211221
4133023022111312233332011
5120432323012301232412
61203333501022400341
740610420616445363
oct3713122566577605
9588406657522757
10137106460180357
113a7605834607a8
12134641981300b1
135b67111c0b675
1425bddb9412633
1510cb6c1219b07
hex7cb295daff85

137106460180357 has 2 divisors, whose sum is σ = 137106460180358. Its totient is φ = 137106460180356.

The previous prime is 137106460180343. The next prime is 137106460180367. The reversal of 137106460180357 is 753081064601731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127392554022561 + 9713906157796 = 11286831^2 + 3116714^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137106460180357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137106460180367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68553230090178 + 68553230090179.

It is an arithmetic number, because the mean of its divisors is an integer number (68553230090179).

Almost surely, 2137106460180357 is an apocalyptic number.

It is an amenable number.

137106460180357 is a deficient number, since it is larger than the sum of its proper divisors (1).

137106460180357 is an equidigital number, since it uses as much as digits as its factorization.

137106460180357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 137106460180357 in words is "one hundred thirty-seven trillion, one hundred six billion, four hundred sixty million, one hundred eighty thousand, three hundred fifty-seven".