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133055325 = 33521359257
BaseRepresentation
bin1111110111001…
…00001101011101
3100021100220121000
413323210031131
5233030232300
621111500513
73203644254
oct773441535
9307326530
10133055325
1169119487
1238687739
1321748380
141395779b
15ba33c00
hex7ee435d

133055325 has 96 divisors (see below), whose sum is σ = 268732800. Its totient is φ = 64143360.

The previous prime is 133055269. The next prime is 133055333. The reversal of 133055325 is 523550331.

133055325 is a `hidden beast` number, since 1 + 330 + 5 + 5 + 325 = 666.

It is not a de Polignac number, because 133055325 - 210 = 133054301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 517597 + ... + 517853.

It is an arithmetic number, because the mean of its divisors is an integer number (2799300).

Almost surely, 2133055325 is an apocalyptic number.

133055325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133055325 is an abundant number, since it is smaller than the sum of its proper divisors (135677475).

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

133055325 is a wasteful number, since it uses less digits than its factorization.

133055325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 133055325 is about 11534.9609882305. The cubic root of 133055325 is about 510.5176405167.

The spelling of 133055325 in words is "one hundred thirty-three million, fifty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 59 65 75 117 135 177 195 225 257 295 325 351 531 585 675 767 771 885 975 1285 1475 1593 1755 2301 2313 2655 2925 3341 3835 3855 4425 6425 6903 6939 7965 8775 10023 11505 11565 13275 15163 16705 19175 19275 20709 30069 34515 34695 39825 45489 50115 57525 57825 75815 83525 90207 103545 136467 150345 172575 173475 197119 227445 250575 379075 409401 451035 517725 591357 682335 751725 985595 1137225 1774071 2047005 2255175 2956785 3411675 4927975 5322213 8870355 10235025 14783925 26611065 44351775 133055325