Search a number
-
+
137261345740837 is a prime number
BaseRepresentation
bin11111001101011010100101…
…110000010001100000100101
3200000000001112012002110202221
4133031122211300101200211
5120442342214002201322
61203532554113432341
740624543051132243
oct3715324560214045
9600001465073687
10137261345740837
113a81023430283a
121348a202b6b6b1
135b788c66bb6c6
1425c76ad995793
1510d0738b979c7
hex7cd6a5c11825

137261345740837 has 2 divisors, whose sum is σ = 137261345740838. Its totient is φ = 137261345740836.

The previous prime is 137261345740723. The next prime is 137261345740859. The reversal of 137261345740837 is 738047543162731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135175013937441 + 2086331803396 = 11626479^2 + 1444414^2 .

It is an emirp because it is prime and its reverse (738047543162731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137261345740837 - 219 = 137261345216549 is a prime.

It is a super-4 number, since 4×1372613457408374 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137261345740237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68630672870418 + 68630672870419.

It is an arithmetic number, because the mean of its divisors is an integer number (68630672870419).

Almost surely, 2137261345740837 is an apocalyptic number.

It is an amenable number.

137261345740837 is a deficient number, since it is larger than the sum of its proper divisors (1).

137261345740837 is an equidigital number, since it uses as much as digits as its factorization.

137261345740837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 71124480, while the sum is 61.

The spelling of 137261345740837 in words is "one hundred thirty-seven trillion, two hundred sixty-one billion, three hundred forty-five million, seven hundred forty thousand, eight hundred thirty-seven".