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135171225 = 32527194517
BaseRepresentation
bin10000000111010…
…00110010011001
3100102100102001200
420003220302121
5234100434400
621225104413
73230636130
oct1003506231
9312312050
10135171225
116a334162
1239328109
1322009497
1413d48917
15bd00b00
hex80e8c99

135171225 has 72 divisors (see below), whose sum is σ = 291320640. Its totient is φ = 58527360.

The previous prime is 135171221. The next prime is 135171251. The reversal of 135171225 is 522171531.

It is not a de Polignac number, because 135171225 - 22 = 135171221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135171221) 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 71 ways as a sum of consecutive naturals, for example, 27667 + ... + 32183.

It is an arithmetic number, because the mean of its divisors is an integer number (4046120).

Almost surely, 2135171225 is an apocalyptic number.

135171225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135171225 is an abundant number, since it is smaller than the sum of its proper divisors (156149415).

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

135171225 is a wasteful number, since it uses less digits than its factorization.

135171225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4551 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 135171225 is about 11626.3160545377. The cubic root of 135171225 is about 513.2095743239.

The spelling of 135171225 in words is "one hundred thirty-five million, one hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 399 475 525 665 855 1197 1425 1575 1995 3325 4275 4517 5985 9975 13551 22585 29925 31619 40653 67755 85823 94857 112925 158095 203265 257469 284571 338775 429115 474285 600761 772407 790475 1016325 1287345 1422855 1802283 2145575 2371425 3003805 3862035 5406849 6436725 7114275 9011415 15019025 19310175 27034245 45057075 135171225