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133875822252 = 223192329711443
BaseRepresentation
bin111110010101110011…
…1101110111010101100
3110210120000222102020010
41330223213232322230
54143134202303002
6141300211253220
712446365466454
oct1745347567254
9423500872203
10133875822252
115185a458817
1221b428aa210
13c816b68893
1466a0136d64
15373825a46c
hex1f2b9eeeac

133875822252 has 144 divisors (see below), whose sum is σ = 347309836160. Its totient is φ = 40018074624.

The previous prime is 133875822251. The next prime is 133875822293. The reversal of 133875822252 is 252228578331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133875822251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11693643 + ... + 11705085.

Almost surely, 2133875822252 is an apocalyptic number.

133875822252 is a gapful number since it is divisible by the number (12) 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 133875822252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173654918080).

133875822252 is an abundant number, since it is smaller than the sum of its proper divisors (213434013908).

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

133875822252 is a wasteful number, since it uses less digits than its factorization.

133875822252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11612 (or 11587 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 133875822252 in words is "one hundred thirty-three billion, eight hundred seventy-five million, eight hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 97 114 138 194 228 276 291 388 437 529 582 874 1058 1164 1311 1587 1748 1843 2116 2231 2622 3174 3686 4462 5244 5529 6348 6693 7372 8924 10051 11058 11443 13386 20102 22116 22886 26772 30153 34329 40204 42389 45772 51313 60306 68658 84778 102626 120612 127167 137316 153939 169556 205252 217417 254334 263189 307878 434834 508668 526378 615756 652251 789567 869668 974947 1052756 1109971 1304502 1579134 1949894 2219942 2609004 2924841 3158268 3329913 3899788 4439884 5000591 5849682 6053347 6659826 10001182 11699364 12106694 13319652 15001773 18160041 20002364 21089449 24213388 25529333 30003546 36320082 42178898 51058666 60007092 63268347 72640164 76587999 84357796 102117332 115013593 126536694 153175998 230027186 253073388 306351996 345040779 460054372 485057327 587174659 690081558 970114654 1174349318 1380163116 1455171981 1761523977 1940229308 2348698636 2910343962 3523047954 5820687924 7046095908 11156318521 22312637042 33468955563 44625274084 66937911126 133875822252