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135756133 is a prime number
BaseRepresentation
bin10000001011101…
…11100101100101
3100110110010101221
420011313211211
5234223144013
621245420341
73235623322
oct1005674545
9313403357
10135756133
116a6a3657
123956a6b1
1322182796
141405bb49
15bdb908d
hex8177965

135756133 has 2 divisors, whose sum is σ = 135756134. Its totient is φ = 135756132.

The previous prime is 135756119. The next prime is 135756139. The reversal of 135756133 is 331657531.

135756133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78269409 + 57486724 = 8847^2 + 7582^2 .

It is an emirp because it is prime and its reverse (331657531) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135756133 is a prime.

It is a super-2 number, since 2×1357561332 = 36859455294227378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135756139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67878066 + 67878067.

It is an arithmetic number, because the mean of its divisors is an integer number (67878067).

Almost surely, 2135756133 is an apocalyptic number.

It is an amenable number.

135756133 is a deficient number, since it is larger than the sum of its proper divisors (1).

135756133 is an equidigital number, since it uses as much as digits as its factorization.

135756133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28350, while the sum is 34.

The square root of 135756133 is about 11651.4433869800. The cubic root of 135756133 is about 513.9487564169.

The spelling of 135756133 in words is "one hundred thirty-five million, seven hundred fifty-six thousand, one hundred thirty-three".