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133505037167 is a prime number
BaseRepresentation
bin111110001010110000…
…1010011001101101111
3110202121012021120201012
41330111201103031233
54141404242142132
6141155324135435
712434244043415
oct1742541231557
9422535246635
10133505037167
115168a127467
1221a5a69757b
13c7880b5b18
146666bb92b5
1537159180b2
hex1f1585336f

133505037167 has 2 divisors, whose sum is σ = 133505037168. Its totient is φ = 133505037166.

The previous prime is 133505037137. The next prime is 133505037173. The reversal of 133505037167 is 761730505331.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 133505037167 - 212 = 133505033071 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133505037137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66752518583 + 66752518584.

It is an arithmetic number, because the mean of its divisors is an integer number (66752518584).

Almost surely, 2133505037167 is an apocalyptic number.

133505037167 is a deficient number, since it is larger than the sum of its proper divisors (1).

133505037167 is an equidigital number, since it uses as much as digits as its factorization.

133505037167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 198450, while the sum is 41.

The spelling of 133505037167 in words is "one hundred thirty-three billion, five hundred five million, thirty-seven thousand, one hundred sixty-seven".