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135196875 = 3255111923
BaseRepresentation
bin10000000111011…
…11000011001011
3100102101201020200
420003233003023
5234102300000
621225423243
73231103662
oct1003570313
9312351220
10135196875
116a351460
123933ab23
1322018068
1413d53dd9
15bd08500
hex80ef0cb

135196875 has 144 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 59400000.

The previous prime is 135196871. The next prime is 135196877. The reversal of 135196875 is 578691531.

It is a happy number.

135196875 is a `hidden beast` number, since 1 + 3 + 519 + 68 + 75 = 666.

It is not a de Polignac number, because 135196875 - 22 = 135196871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (226800) is a multiple of the sum of its prime factors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 135196875.

It is not an unprimeable number, because it can be changed into a prime (135196871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5878114 + ... + 5878136.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2135196875 is an apocalyptic number.

135196875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135196875 is an abundant number, since it is smaller than the sum of its proper divisors (157284405).

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

135196875 is a wasteful number, since it uses less digits than its factorization.

135196875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 135196875 is about 11627.4191031372. The cubic root of 135196875 is about 513.2420343711.

The spelling of 135196875 in words is "one hundred thirty-five million, one hundred ninety-six thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 11 15 19 23 25 33 45 55 57 69 75 95 99 115 125 165 171 207 209 225 253 275 285 345 375 437 475 495 575 625 627 759 825 855 1035 1045 1125 1265 1311 1375 1425 1725 1875 1881 2185 2277 2375 2475 2875 3125 3135 3795 3933 4125 4275 4807 5175 5225 5625 6325 6555 6875 7125 8625 9375 9405 10925 11385 11875 12375 14375 14421 15675 18975 19665 20625 21375 24035 25875 26125 28125 31625 32775 34375 35625 43125 43263 47025 54625 56925 59375 61875 71875 72105 78375 94875 98325 103125 106875 120175 129375 130625 158125 163875 178125 215625 216315 235125 273125 284625 309375 360525 391875 474375 491625 534375 600875 646875 653125 790625 819375 1081575 1175625 1365625 1423125 1802625 1959375 2371875 2458125 3004375 4096875 5407875 5878125 7115625 9013125 12290625 15021875 27039375 45065625 135196875