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133112160 = 2534510271
BaseRepresentation
bin1111110111100…
…10000101100000
3100021110210120000
413323302011200
5233034042120
621113020000
73204302046
oct773620540
9307423500
10133112160
1169158155
12386b4600
13217681bc
1413970396
15ba45990
hex7ef2160

133112160 has 120 divisors (see below), whose sum is σ = 469820736. Its totient is φ = 35493120.

The previous prime is 133112143. The next prime is 133112191. The reversal of 133112160 is 61211331.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7825 + ... + 18095.

Almost surely, 2133112160 is an apocalyptic number.

133112160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234910368).

133112160 is an abundant number, since it is smaller than the sum of its proper divisors (336708576).

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

133112160 is a wasteful number, since it uses less digits than its factorization.

133112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10298 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 133112160 is about 11537.4243226120. The cubic root of 133112160 is about 510.5903199072.

Adding to 133112160 its reverse (61211331), we get a palindrome (194323491).

The spelling of 133112160 in words is "one hundred thirty-three million, one hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 10271 12960 20542 30813 41084 51355 61626 82168 92439 102710 123252 154065 164336 184878 205420 246504 277317 308130 328672 369756 410840 462195 493008 554634 616260 739512 821680 831951 924390 986016 1109268 1232520 1386585 1479024 1643360 1663902 1848780 2218536 2465040 2773170 2958048 3327804 3697560 4159755 4437072 4930080 5546340 6655608 7395120 8319510 8874144 11092680 13311216 14790240 16639020 22185360 26622432 33278040 44370720 66556080 133112160