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133130196 = 223317591229
BaseRepresentation
bin1111110111101…
…10011111010100
3100021111201022000
413323312133110
5233040131241
621113235300
73204405453
oct773663724
9307451260
10133130196
116916a761
1238702b30
1321773484
1413976b9a
15ba4aeb6
hex7ef67d4

133130196 has 96 divisors (see below), whose sum is σ = 371952000. Its totient is φ = 41025024.

The previous prime is 133130171. The next prime is 133130197. The reversal of 133130196 is 691031331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107710 + ... + 108938.

It is an arithmetic number, because the mean of its divisors is an integer number (3874500).

Almost surely, 2133130196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133130196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185976000).

133130196 is an abundant number, since it is smaller than the sum of its proper divisors (238821804).

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

133130196 is a wasteful number, since it uses less digits than its factorization.

133130196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 133130196 is about 11538.2059263995. The cubic root of 133130196 is about 510.6133796364.

The spelling of 133130196 in words is "one hundred thirty-three million, one hundred thirty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 59 68 102 108 118 153 177 204 236 306 354 459 531 612 708 918 1003 1062 1229 1593 1836 2006 2124 2458 3009 3186 3687 4012 4916 6018 6372 7374 9027 11061 12036 14748 18054 20893 22122 27081 33183 36108 41786 44244 54162 62679 66366 72511 83572 108324 125358 132732 145022 188037 217533 250716 290044 376074 435066 564111 652599 752148 870132 1128222 1232687 1305198 1957797 2256444 2465374 2610396 3698061 3915594 4930748 7396122 7831188 11094183 14792244 22188366 33282549 44376732 66565098 133130196