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137167355401 is a prime number
BaseRepresentation
bin111111110111111001…
…1111011111000001001
3111010001102120121212021
41333233303323320021
54221404320333101
6143002552244441
712624064166146
oct1775763737011
9433042517767
10137167355401
115319943a34a
12227010a0721
13cc1ca7512b
1468d334b3cd
15387c1d95a1
hex1fefcfbe09

137167355401 has 2 divisors, whose sum is σ = 137167355402. Its totient is φ = 137167355400.

The previous prime is 137167355293. The next prime is 137167355447. The reversal of 137167355401 is 104553761731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122580513225 + 14586842176 = 350115^2 + 120776^2 .

It is an emirp because it is prime and its reverse (104553761731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137167355401 - 221 = 137165258249 is a prime.

It is not a weakly prime, because it can be changed into another prime (137167359401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68583677700 + 68583677701.

It is an arithmetic number, because the mean of its divisors is an integer number (68583677701).

Almost surely, 2137167355401 is an apocalyptic number.

It is an amenable number.

137167355401 is a deficient number, since it is larger than the sum of its proper divisors (1).

137167355401 is an equidigital number, since it uses as much as digits as its factorization.

137167355401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 137167355401 in words is "one hundred thirty-seven billion, one hundred sixty-seven million, three hundred fifty-five thousand, four hundred one".