Search a number
-
+
137640608173 is a prime number
BaseRepresentation
bin1000000000110000000…
…1010000000110101101
3111011021102002100121201
42000030001100012231
54223341443430143
6143121535525501
712641601602635
oct2001401200655
9434242070551
10137640608173
1153411598142
1222813689891
13cc96b23963
14693a13d6c5
1538a8a1c64d
hex200c0501ad

137640608173 has 2 divisors, whose sum is σ = 137640608174. Its totient is φ = 137640608172.

The previous prime is 137640608113. The next prime is 137640608177. The reversal of 137640608173 is 371806046731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137613547369 + 27060804 = 370963^2 + 5202^2 .

It is a cyclic number.

It is not a de Polignac number, because 137640608173 - 229 = 137103737261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137640608177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68820304086 + 68820304087.

It is an arithmetic number, because the mean of its divisors is an integer number (68820304087).

Almost surely, 2137640608173 is an apocalyptic number.

It is an amenable number.

137640608173 is a deficient number, since it is larger than the sum of its proper divisors (1).

137640608173 is an equidigital number, since it uses as much as digits as its factorization.

137640608173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 137640608173 in words is "one hundred thirty-seven billion, six hundred forty million, six hundred eight thousand, one hundred seventy-three".