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135740733 = 31723971193
BaseRepresentation
bin10000001011100…
…11110100111101
3100110102100021120
420011303310331
5234222200413
621245221153
73235530402
oct1005636475
9313370246
10135740733
116a693027
12395617b9
132217877b
14140562a9
15bdb4723
hex8173d3d

135740733 has 32 divisors (see below), whose sum is σ = 202196736. Its totient is φ = 80560128.

The previous prime is 135740701. The next prime is 135740749. The reversal of 135740733 is 337047531.

It is a happy number.

It is not a de Polignac number, because 135740733 - 25 = 135740701 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135740694 and 135740703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135740933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113185 + ... + 114377.

It is an arithmetic number, because the mean of its divisors is an integer number (6318648).

Almost surely, 2135740733 is an apocalyptic number.

It is an amenable number.

135740733 is a deficient number, since it is larger than the sum of its proper divisors (66456003).

135740733 is a wasteful number, since it uses less digits than its factorization.

135740733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333.

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 135740733 is about 11650.7825059092. The cubic root of 135740733 is about 513.9293217882.

The spelling of 135740733 in words is "one hundred thirty-five million, seven hundred forty thousand, seven hundred thirty-three".

Divisors: 1 3 17 23 51 69 97 291 391 1173 1193 1649 2231 3579 4947 6693 20281 27439 37927 60843 82317 113781 115721 347163 466463 1399389 1967257 2661583 5901771 7984749 45246911 135740733