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136877111137 = 13137601127877
BaseRepresentation
bin111111101111010000…
…0101111011101100001
3111002022012102200120201
41333132200233131201
54220311020024022
6142514103305201
712613641151024
oct1773640573541
9432265380521
10136877111137
115305a619558
122263ba4b201
13cba48b1970
1468a69971bb
1538619a6127
hex1fde82f761

136877111137 has 16 divisors (see below), whose sum is σ = 148730298192. Its totient is φ = 125216179200.

The previous prime is 136877111123. The next prime is 136877111237. The reversal of 136877111137 is 731111778631.

It can be written as a sum of positive squares in 8 ways, for example, as 12214449361 + 124662661776 = 110519^2 + 353076^2 .

It is a cyclic number.

It is not a de Polignac number, because 136877111137 - 27 = 136877111009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136877111237) 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 in 15 ways as a sum of consecutive naturals, for example, 1006443 + ... + 1134319.

It is an arithmetic number, because the mean of its divisors is an integer number (9295643637).

Almost surely, 2136877111137 is an apocalyptic number.

It is an amenable number.

136877111137 is a deficient number, since it is larger than the sum of its proper divisors (11853187055).

136877111137 is a wasteful number, since it uses less digits than its factorization.

136877111137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128628.

The product of its digits is 148176, while the sum is 46.

Adding to 136877111137 its reverse (731111778631), we get a palindrome (867988889768).

The spelling of 136877111137 in words is "one hundred thirty-six billion, eight hundred seventy-seven million, one hundred eleven thousand, one hundred thirty-seven".

Divisors: 1 13 137 601 1781 7813 82337 127877 1070381 1662401 17519149 76854077 227748937 999103001 10529008549 136877111137