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135152325 = 325271129269
BaseRepresentation
bin10000000111001…
…00001011000101
3100102022110010200
420003210023011
5234044333300
621224441113
73230530050
oct1003441305
9312273120
10135152325
116a320a40
1239319199
13220009b9
1413d41a97
15bcea200
hex80e42c5

135152325 has 144 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 54028800.

The previous prime is 135152321. The next prime is 135152327. The reversal of 135152325 is 523251531.

It is a happy number.

135152325 is a `hidden beast` number, since 135 + 1 + 523 + 2 + 5 = 666.

It is not a de Polignac number, because 135152325 - 22 = 135152321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135152321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 502291 + ... + 502559.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2135152325 is an apocalyptic number.

135152325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135152325 is an abundant number, since it is smaller than the sum of its proper divisors (178220475).

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

135152325 is a wasteful number, since it uses less digits than its factorization.

135152325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 135152325 is about 11625.5032149150. The cubic root of 135152325 is about 513.1856537667.

The spelling of 135152325 in words is "one hundred thirty-five million, one hundred fifty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 29 33 35 45 55 63 75 77 87 99 105 145 165 175 203 225 231 261 269 275 315 319 385 435 495 525 609 693 725 807 825 957 1015 1155 1305 1345 1575 1595 1827 1883 1925 2175 2233 2421 2475 2871 2959 3045 3465 4035 4785 5075 5649 5775 6525 6699 6725 7801 7975 8877 9135 9415 11165 12105 14355 14795 15225 16947 17325 20097 20175 20713 23403 23925 26631 28245 33495 39005 44385 45675 47075 54607 55825 60525 62139 70209 71775 73975 84735 85811 100485 103565 117015 133155 141225 163821 167475 186417 195025 221925 257433 273035 310695 351045 423675 429055 491463 502425 517825 585075 600677 665775 772299 819105 932085 1287165 1365175 1553475 1755225 1802031 2145275 2457315 3003385 3861495 4095525 4660425 5406093 6435825 9010155 12286575 15016925 19307475 27030465 45050775 135152325