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137382565777 is a prime number
BaseRepresentation
bin111111111110010100…
…0111001011110010001
3111010121102112102222221
41333330220321132101
54222324414101102
6143040201101041
712632316353512
oct1777450713621
9433542472887
10137382565777
1153299971066
1222761187781
13cc55526752
146913b6ca09
15389104a637
hex1ffca39791

137382565777 has 2 divisors, whose sum is σ = 137382565778. Its totient is φ = 137382565776.

The previous prime is 137382565769. The next prime is 137382565909. The reversal of 137382565777 is 777565283731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75561213456 + 61821352321 = 274884^2 + 248639^2 .

It is a cyclic number.

It is not a de Polignac number, because 137382565777 - 23 = 137382565769 is a prime.

It is a super-2 number, since 2×1373825657772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137382562777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68691282888 + 68691282889.

It is an arithmetic number, because the mean of its divisors is an integer number (68691282889).

Almost surely, 2137382565777 is an apocalyptic number.

It is an amenable number.

137382565777 is a deficient number, since it is larger than the sum of its proper divisors (1).

137382565777 is an equidigital number, since it uses as much as digits as its factorization.

137382565777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51861600, while the sum is 61.

The spelling of 137382565777 in words is "one hundred thirty-seven billion, three hundred eighty-two million, five hundred sixty-five thousand, seven hundred seventy-seven".