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135852197 = 133753732
BaseRepresentation
bin10000001100011…
…11000010100101
3100110122000011212
420012033002211
5234234232242
621251441205
73236503355
oct1006170245
9313560155
10135852197
116a759848
12395b6205
13221b7420
1414084b65
15bdd7782
hex818f0a5

135852197 has 24 divisors (see below), whose sum is σ = 155217384. Its totient is φ = 118070784.

The previous prime is 135852193. The next prime is 135852239. The reversal of 135852197 is 791258531.

It can be written as a sum of positive squares in 12 ways, for example, as 4268356 + 131583841 = 2066^2 + 11471^2 .

It is not a de Polignac number, because 135852197 - 22 = 135852193 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135852193) 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 23 ways as a sum of consecutive naturals, for example, 1860953 + ... + 1861025.

It is an arithmetic number, because the mean of its divisors is an integer number (6467391).

Almost surely, 2135852197 is an apocalyptic number.

It is an amenable number.

135852197 is a deficient number, since it is larger than the sum of its proper divisors (19365187).

135852197 is an equidigital number, since it uses as much as digits as its factorization.

135852197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 176 counting only the distinct ones).

The product of its digits is 75600, while the sum is 41.

The square root of 135852197 is about 11655.5650656671. The cubic root of 135852197 is about 514.0699549496.

The spelling of 135852197 in words is "one hundred thirty-five million, eight hundred fifty-two thousand, one hundred ninety-seven".

Divisors: 1 13 37 53 73 481 689 949 1961 2701 3869 5329 25493 35113 50297 69277 143153 197173 282437 1860989 2563249 3671681 10450169 135852197