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132141129137 is a prime number
BaseRepresentation
bin111101100010000111…
…0011001110110110001
3110122002010211212121222
41323010032121312301
54131111112113022
6140412122554425
712355403031233
oct1730416316661
9418063755558
10132141129137
115104a24a146
1221739968a15
13c5cb663154
1465779c0253
153685d02242
hex1ec4399db1

132141129137 has 2 divisors, whose sum is σ = 132141129138. Its totient is φ = 132141129136.

The previous prime is 132141129121. The next prime is 132141129143. The reversal of 132141129137 is 731921141231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110367470656 + 21773658481 = 332216^2 + 147559^2 .

It is a cyclic number.

It is not a de Polignac number, because 132141129137 - 24 = 132141129121 is a prime.

It is a super-2 number, since 2×1321411291372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132141129097 and 132141129106.

It is not a weakly prime, because it can be changed into another prime (132141129167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66070564568 + 66070564569.

It is an arithmetic number, because the mean of its divisors is an integer number (66070564569).

Almost surely, 2132141129137 is an apocalyptic number.

It is an amenable number.

132141129137 is a deficient number, since it is larger than the sum of its proper divisors (1).

132141129137 is an equidigital number, since it uses as much as digits as its factorization.

132141129137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 35.

The spelling of 132141129137 in words is "one hundred thirty-two billion, one hundred forty-one million, one hundred twenty-nine thousand, one hundred thirty-seven".