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132320155225544 = 231121321097420573
BaseRepresentation
bin11110000101100000101111…
…110110010100110111001000
3122100111200110010101201010222
4132011200233312110313020
5114320413134214204134
61145231012400325212
736604546540551536
oct3605405766246710
9570450403351128
10132320155225544
1139185732055600
1212a10648313808
1358aa977531300
142496488921156
151046e3e413a2e
hex78582fd94dc8

132320155225544 has 144 divisors (see below), whose sum is σ = 298005428466900. Its totient is φ = 55009590704640.

The previous prime is 132320155225523. The next prime is 132320155225547. The reversal of 132320155225544 is 445522551023231.

It can be written as a sum of positive squares in 6 ways, for example, as 3587576928100 + 128732578297444 = 1894090^2 + 11346038^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 132320155225495 and 132320155225504.

It is not an unprimeable number, because it can be changed into a prime (132320155225547) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14121242 + ... + 21541814.

Almost surely, 2132320155225544 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 132320155225544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149002714233450).

132320155225544 is an abundant number, since it is smaller than the sum of its proper divisors (165685273241356).

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

132320155225544 is a wasteful number, since it uses less digits than its factorization.

132320155225544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420736 (or 7420708 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 132320155225544 in words is "one hundred thirty-two trillion, three hundred twenty billion, one hundred fifty-five million, two hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 109 121 143 169 218 242 286 338 436 484 572 676 872 968 1144 1199 1352 1417 1573 1859 2398 2834 3146 3718 4796 5668 6292 7436 9592 11336 12584 13189 14872 15587 18421 20449 26378 31174 36842 40898 52756 62348 73684 81796 105512 124696 147368 163592 171457 202631 342914 405262 685828 810524 1371656 1621048 2228941 4457882 7420573 8915764 14841146 17831528 29682292 59364584 81626303 96467449 163252606 192934898 326505212 385869796 653010424 771739592 808842457 897889333 1061141939 1254076837 1617684914 1795778666 2122283878 2508153674 3235369828 3591557332 4244567756 5016307348 6470739656 7183114664 8489135512 8897267027 10032614696 10514951941 11672561329 13794845207 17794534054 21029903882 23345122658 27589690414 35589068108 42059807764 46690245316 55179380828 71178136216 84119615528 93380490632 97869937297 110358761656 115664471351 136694375233 151743297277 195739874594 231328942702 273388750466 303486594554 391479749188 462657885404 546777500932 606973189108 782959498376 925315770808 1093555001864 1213946378216 1272309184861 1503638127563 2544618369722 3007276255126 5089236739444 6014552510252 10178473478888 12029105020504 16540019403193 33080038806386 66160077612772 132320155225544