Search a number
-
+
137706277153 is a prime number
BaseRepresentation
bin1000000000111111101…
…1110000100100100001
3111011102222122200112011
42000033323300210201
54224010301332103
6143132243232521
712643330020454
oct2001773604441
9434388580464
10137706277153
1153445670225
1222831678741
13cca7607043
146944b5549b
1538ae68ed6d
hex200fef0921

137706277153 has 2 divisors, whose sum is σ = 137706277154. Its totient is φ = 137706277152.

The previous prime is 137706277151. The next prime is 137706277183. The reversal of 137706277153 is 351772607731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117664778529 + 20041498624 = 343023^2 + 141568^2 .

It is a cyclic number.

It is not a de Polignac number, because 137706277153 - 21 = 137706277151 is a prime.

Together with 137706277151, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 137706277097 and 137706277106.

It is not a weakly prime, because it can be changed into another prime (137706277151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68853138576 + 68853138577.

It is an arithmetic number, because the mean of its divisors is an integer number (68853138577).

Almost surely, 2137706277153 is an apocalyptic number.

It is an amenable number.

137706277153 is a deficient number, since it is larger than the sum of its proper divisors (1).

137706277153 is an equidigital number, since it uses as much as digits as its factorization.

137706277153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296540, while the sum is 49.

The spelling of 137706277153 in words is "one hundred thirty-seven billion, seven hundred six million, two hundred seventy-seven thousand, one hundred fifty-three".