Search a number
-
+
137261345740859 is a prime number
BaseRepresentation
bin11111001101011010100101…
…110000010001100000111011
3200000000001112012002110210202
4133031122211300101200323
5120442342214002201414
61203532554113432415
740624543051132304
oct3715324560214073
9600001465073722
10137261345740859
113a81023430285a
121348a202b6b70b
135b788c66bb712
1425c76ad9957ab
1510d0738b979de
hex7cd6a5c1183b

137261345740859 has 2 divisors, whose sum is σ = 137261345740860. Its totient is φ = 137261345740858.

The previous prime is 137261345740837. The next prime is 137261345740957. The reversal of 137261345740859 is 958047543162731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137261345740859 - 212 = 137261345736763 is a prime.

It is a super-4 number, since 4×1372613457408594 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 137261345740795 and 137261345740804.

It is not a weakly prime, because it can be changed into another prime (137261345740159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68630672870429 + 68630672870430.

It is an arithmetic number, because the mean of its divisors is an integer number (68630672870430).

It is a 1-persistent number, because it is pandigital, but 2⋅137261345740859 = 274522691481718 is not.

Almost surely, 2137261345740859 is an apocalyptic number.

137261345740859 is a deficient number, since it is larger than the sum of its proper divisors (1).

137261345740859 is an equidigital number, since it uses as much as digits as its factorization.

137261345740859 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 152409600, while the sum is 65.

The spelling of 137261345740859 in words is "one hundred thirty-seven trillion, two hundred sixty-one billion, three hundred forty-five million, seven hundred forty thousand, eight hundred fifty-nine".