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133138693 is a prime number
BaseRepresentation
bin1111110111110…
…00100100000101
3100021112010221201
413323320210011
5233040414233
621113342501
73204442312
oct773704405
9307463851
10133138693
1169176086
1238707a31
13217772bc
1413979d09
15ba4d77d
hex7ef8905

133138693 has 2 divisors, whose sum is σ = 133138694. Its totient is φ = 133138692.

The previous prime is 133138673. The next prime is 133138699. The reversal of 133138693 is 396831331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103184964 + 29953729 = 10158^2 + 5473^2 .

It is a cyclic number.

It is not a de Polignac number, because 133138693 - 217 = 133007621 is a prime.

It is equal to p7546069 and since 133138693 and 7546069 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133138699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66569346 + 66569347.

It is an arithmetic number, because the mean of its divisors is an integer number (66569347).

Almost surely, 2133138693 is an apocalyptic number.

It is an amenable number.

133138693 is a deficient number, since it is larger than the sum of its proper divisors (1).

133138693 is an equidigital number, since it uses as much as digits as its factorization.

133138693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 37.

The square root of 133138693 is about 11538.5741320148. The cubic root of 133138693 is about 510.6242426606.

The spelling of 133138693 in words is "one hundred thirty-three million, one hundred thirty-eight thousand, six hundred ninety-three".