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135604937 = 1317613597
BaseRepresentation
bin10000001010100…
…10101011001001
3100110011110000002
420011102223021
5234203324222
621242252345
73234423446
oct1005225311
9313143002
10135604937
116a5aaaa6
12394b70b5
132212ba10
141401c9cd
15bd89392
hex8152ac9

135604937 has 8 divisors (see below), whose sum is σ = 154626696. Its totient is φ = 117810432.

The previous prime is 135604921. The next prime is 135604981. The reversal of 135604937 is 739406531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21307456 + 114297481 = 4616^2 + 10691^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135604937 - 24 = 135604921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135604937.

It is not an unprimeable number, because it can be changed into a prime (135604837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306578 + ... + 307019.

It is an arithmetic number, because the mean of its divisors is an integer number (19328337).

Almost surely, 2135604937 is an apocalyptic number.

135604937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135604937 is a deficient number, since it is larger than the sum of its proper divisors (19021759).

135604937 is a wasteful number, since it uses less digits than its factorization.

135604937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613627.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 135604937 is about 11644.9532845778. The cubic root of 135604937 is about 513.7578850837.

The spelling of 135604937 in words is "one hundred thirty-five million, six hundred four thousand, nine hundred thirty-seven".

Divisors: 1 13 17 221 613597 7976761 10431149 135604937