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137314680984077 is a prime number
BaseRepresentation
bin11111001110001100010000…
…110010000101001000001101
3200000012011012012202120000012
4133032030100302011020031
5120444230431312442302
61204013254341043005
740631441542204232
oct3716142062051015
9600164165676005
10137314680984077
113a8309136a1463
12134986089b6465
135b8094643012c
1425ca0cd237789
1510d1d0b252a52
hex7ce310c8520d

137314680984077 has 2 divisors, whose sum is σ = 137314680984078. Its totient is φ = 137314680984076.

The previous prime is 137314680984023. The next prime is 137314680984119. The reversal of 137314680984077 is 770489086413731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111808756969156 + 25505924014921 = 10573966^2 + 5050339^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137314680984077 is a prime.

It is a super-2 number, since 2×1373146809840772 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137314680983998 and 137314680984016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137314680981077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68657340492038 + 68657340492039.

It is an arithmetic number, because the mean of its divisors is an integer number (68657340492039).

Almost surely, 2137314680984077 is an apocalyptic number.

It is an amenable number.

137314680984077 is a deficient number, since it is larger than the sum of its proper divisors (1).

137314680984077 is an equidigital number, since it uses as much as digits as its factorization.

137314680984077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 170698752, while the sum is 68.

The spelling of 137314680984077 in words is "one hundred thirty-seven trillion, three hundred fourteen billion, six hundred eighty million, nine hundred eighty-four thousand, seventy-seven".