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133535325 = 352711191217
BaseRepresentation
bin1111111010110…
…01011001011101
3100022021022000210
413331121121131
5233141112300
621130043033
73211013550
oct775313135
9308238023
10133535325
1169417080
1238879479
13218859b1
1413a40697
15bacb050
hex7f5965d

133535325 has 96 divisors (see below), whose sum is σ = 289981440. Its totient is φ = 52531200.

The previous prime is 133535279. The next prime is 133535327. The reversal of 133535325 is 523535331.

It is not a de Polignac number, because 133535325 - 28 = 133535069 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133535292 and 133535301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133535327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109117 + ... + 110333.

It is an arithmetic number, because the mean of its divisors is an integer number (3020640).

Almost surely, 2133535325 is an apocalyptic number.

133535325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133535325 is an abundant number, since it is smaller than the sum of its proper divisors (156446115).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133535325 is a wasteful number, since it uses less digits than its factorization.

133535325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1262 counting only the distinct ones).

The product of its digits is 20250, while the sum is 30.

The square root of 133535325 is about 11555.7485694350. The cubic root of 133535325 is about 511.1308049630.

The spelling of 133535325 in words is "one hundred thirty-three million, five hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 19 21 25 33 35 55 57 75 77 95 105 133 165 175 209 231 275 285 385 399 475 525 627 665 825 1045 1155 1217 1425 1463 1925 1995 3135 3325 3651 4389 5225 5775 6085 7315 8519 9975 13387 15675 18255 21945 23123 25557 30425 36575 40161 42595 66935 69369 91275 93709 109725 115615 127785 161861 200805 212975 254353 281127 334675 346845 468545 485583 578075 638925 763059 809305 1004025 1271765 1405635 1734225 1780471 2342725 2427915 3815295 4046525 5341413 6358825 7028175 8902355 12139575 19076475 26707065 44511775 133535325