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133003134 = 236118293
BaseRepresentation
bin1111110110101…
…11011101111110
3100021021021000000
413323113131332
5233022100014
621110415130
73203336145
oct773273576
9307237000
10133003134
1169093250
12386614a6
132172a6a4
141394275c
15ba23509
hex7ed777e

133003134 has 56 divisors (see below), whose sum is σ = 326352312. Its totient is φ = 40299120.

The previous prime is 133003133. The next prime is 133003151. The reversal of 133003134 is 431300331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133003133) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11892 + ... + 20184.

Almost surely, 2133003134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133003134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163176156).

133003134 is an abundant number, since it is smaller than the sum of its proper divisors (193349178).

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

133003134 is an equidigital number, since it uses as much as digits as its factorization.

133003134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133003134 is about 11532.6984700026. The cubic root of 133003134 is about 510.4508815433.

Adding to 133003134 its reverse (431300331), we get a palindrome (564303465).

The spelling of 133003134 in words is "one hundred thirty-three million, three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 5346 8019 8293 16038 16586 24879 49758 74637 91223 149274 182446 223911 273669 447822 547338 671733 821007 1343466 1642014 2015199 2463021 4030398 4926042 6045597 7389063 12091194 14778126 22167189 44334378 66501567 133003134