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137774120053 is a prime number
BaseRepresentation
bin1000000001001111111…
…0100011110001110101
3111011121201022110111011
42000103332203301311
54224130133320203
6143143105312221
712645112461253
oct2002376436165
9434551273434
10137774120053
115347a998639
1222850335671
13ccb869ba7b
14694db755d3
1538b55e176d
hex2013fa3c75

137774120053 has 2 divisors, whose sum is σ = 137774120054. Its totient is φ = 137774120052.

The previous prime is 137774120039. The next prime is 137774120123. The reversal of 137774120053 is 350021477731.

137774120053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92186318884 + 45587801169 = 303622^2 + 213513^2 .

It is an emirp because it is prime and its reverse (350021477731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137774120053 - 213 = 137774111861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137774119988 and 137774120015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137774120453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68887060026 + 68887060027.

It is an arithmetic number, because the mean of its divisors is an integer number (68887060027).

Almost surely, 2137774120053 is an apocalyptic number.

It is an amenable number.

137774120053 is a deficient number, since it is larger than the sum of its proper divisors (1).

137774120053 is an equidigital number, since it uses as much as digits as its factorization.

137774120053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123480, while the sum is 40.

Adding to 137774120053 its reverse (350021477731), we get a palindrome (487795597784).

The spelling of 137774120053 in words is "one hundred thirty-seven billion, seven hundred seventy-four million, one hundred twenty thousand, fifty-three".