Search a number
-
+
137051534207741 is a prime number
BaseRepresentation
bin11111001010010111001100…
…000000110010101011111101
3122222020222222001200021010212
4133022113030000302223331
5120430423020224121431
61203252334452242205
740603434531414416
oct3712271400625375
9588228861607125
10137051534207741
113a73a2581525aa
1213455609610365
135b61b9a75ba5a
1425bb4887b080d
1510ca05919272b
hex7ca5cc032afd

137051534207741 has 2 divisors, whose sum is σ = 137051534207742. Its totient is φ = 137051534207740.

The previous prime is 137051534207719. The next prime is 137051534207759. The reversal of 137051534207741 is 147702435150731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114577970892100 + 22473563315641 = 10704110^2 + 4740629^2 .

It is an emirp because it is prime and its reverse (147702435150731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137051534207741 - 226 = 137051467098877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137051534207741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137051534209741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68525767103870 + 68525767103871.

It is an arithmetic number, because the mean of its divisors is an integer number (68525767103871).

Almost surely, 2137051534207741 is an apocalyptic number.

It is an amenable number.

137051534207741 is a deficient number, since it is larger than the sum of its proper divisors (1).

137051534207741 is an equidigital number, since it uses as much as digits as its factorization.

137051534207741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2469600, while the sum is 50.

The spelling of 137051534207741 in words is "one hundred thirty-seven trillion, fifty-one billion, five hundred thirty-four million, two hundred seven thousand, seven hundred forty-one".