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133126875 = 33547323
BaseRepresentation
bin1111110111101…
…01101011011011
3100021111112202000
413323311223123
5233040030000
621113212043
73204363000
oct773655333
9307445660
10133126875
1169168212
1238701023
1321771acb
14139758a7
15ba4a000
hex7ef5adb

133126875 has 160 divisors (see below), whose sum is σ = 299904000. Its totient is φ = 58212000.

The previous prime is 133126859. The next prime is 133126883. The reversal of 133126875 is 578621331.

It is not a de Polignac number, because 133126875 - 24 = 133126859 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5788114 + ... + 5788136.

It is an arithmetic number, because the mean of its divisors is an integer number (1874400).

Almost surely, 2133126875 is an apocalyptic number.

133126875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133126875 is an abundant number, since it is smaller than the sum of its proper divisors (166777125).

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

133126875 is an frugal number, since it uses more digits than its factorization.

133126875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 38 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 133126875 is about 11538.0620123139. The cubic root of 133126875 is about 510.6091337649.

The spelling of 133126875 in words is "one hundred thirty-three million, one hundred twenty-six thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 23 25 27 35 45 49 63 69 75 105 115 125 135 147 161 175 189 207 225 245 315 343 345 375 441 483 525 575 621 625 675 735 805 875 945 1029 1035 1125 1127 1225 1323 1449 1575 1715 1725 1875 2205 2415 2625 2875 3087 3105 3375 3381 3675 4025 4347 4375 4725 5145 5175 5625 5635 6125 6615 7245 7875 7889 8575 8625 9261 10143 11025 12075 13125 14375 15435 15525 16875 16905 18375 20125 21735 23625 23667 25725 25875 28175 30429 30625 33075 36225 39375 39445 42875 43125 46305 50715 55125 60375 71001 77175 77625 84525 91875 100625 108675 118125 118335 128625 129375 140875 152145 165375 181125 197225 213003 214375 231525 253575 275625 301875 355005 385875 388125 422625 543375 591675 643125 704375 760725 826875 905625 986125 1065015 1157625 1267875 1775025 1929375 2113125 2716875 2958375 3803625 4930625 5325075 5788125 6339375 8875125 14791875 19018125 26625375 44375625 133126875