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132325534333356 = 2237213117011479449
BaseRepresentation
bin11110000101100101110000…
…011101111111100110101100
3122100112012100000010200212020
4132011211300131333212230
5114321010143242131411
61145233302233310140
736605130045324600
oct3605456035774654
9570465300120766
10132325534333356
1139187a42458951
1212a116a9865350
1358ab323a97c40
1424968390a9500
1510471567a3606
hex78597077f9ac

132325534333356 has 144 divisors (see below), whose sum is σ = 386831034021600. Its totient is φ = 34896035865600.

The previous prime is 132325534333339. The next prime is 132325534333397. The reversal of 132325534333356 is 653333435523231.

It is a junction number, because it is equal to n+sod(n) for n = 132325534333299 and 132325534333308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88702720 + ... + 90182168.

It is an arithmetic number, because the mean of its divisors is an integer number (2686326625150).

Almost surely, 2132325534333356 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 132325534333356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193415517010800).

132325534333356 is an abundant number, since it is smaller than the sum of its proper divisors (254505499688244).

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

132325534333356 is a wasteful number, since it uses less digits than its factorization.

132325534333356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491184 (or 1491175 counting only the distinct ones).

The product of its digits is 26244000, while the sum is 51.

Adding to 132325534333356 its reverse (653333435523231), we get a palindrome (785658969856587).

The spelling of 132325534333356 in words is "one hundred thirty-two trillion, three hundred twenty-five billion, five hundred thirty-four million, three hundred thirty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 11701 23402 35103 46804 70206 81907 140412 152113 163814 245721 304226 327628 456339 491442 573349 608452 912678 982884 1064791 1146698 1479449 1720047 1825356 2129582 2293396 2958898 3194373 3440094 4259164 4438347 5917796 6388746 6880188 7453537 8876694 10356143 12777492 14907074 17753388 19232837 20712286 22360611 29814148 31068429 38465674 41424572 44721222 57698511 62136858 72493001 76931348 89442444 115397022 124273716 134629859 144986002 217479003 230794044 269259718 289972004 403889577 434958006 538519436 807779154 869916012 942409013 1615558308 1884818026 2827227039 3769636052 5654454078 11308908156 17311032749 34622065498 51933098247 69244130996 103866196494 121177229243 207732392988 225043425737 242354458486 363531687729 450086851474 484708916972 675130277211 727063375458 848240604701 900173702948 1350260554422 1454126750916 1575303980159 1696481209402 2544721814103 2700521108844 3150607960318 3392962418804 4725911940477 5089443628206 6301215920636 9451823880954 10178887256412 11027127861113 18903647761908 22054255722226 33081383583339 44108511444452 66162767166678 132325534333356