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135541409167 is a prime number
BaseRepresentation
bin111111000111011100…
…1011100010110001111
3110221212010001222221101
41332032321130112033
54210042100043132
6142133350443531
712535561653133
oct1761671342617
9427763058841
10135541409167
115253465692a
12223286635a7
13ca20c56578
1467bb4213c3
1537d45b27e7
hex1f8ee5c58f

135541409167 has 2 divisors, whose sum is σ = 135541409168. Its totient is φ = 135541409166.

The previous prime is 135541409149. The next prime is 135541409177. The reversal of 135541409167 is 761904145531.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135541409167 is a prime.

It is a super-2 number, since 2×1355414091672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135541409137) 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, 67770704583 + 67770704584.

It is an arithmetic number, because the mean of its divisors is an integer number (67770704584).

Almost surely, 2135541409167 is an apocalyptic number.

135541409167 is a deficient number, since it is larger than the sum of its proper divisors (1).

135541409167 is an equidigital number, since it uses as much as digits as its factorization.

135541409167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 135541409167 in words is "one hundred thirty-five billion, five hundred forty-one million, four hundred nine thousand, one hundred sixty-seven".