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132551405421200 = 24522712846342961
BaseRepresentation
bin11110001000111000000111…
…011011110100001010010000
3122101022210100100102211001022
4132020320013123310022100
5114333210234241434300
61145525135222455012
736630344252023643
oct3610700733641220
9571283310384038
10132551405421200
113926480a830287
1212a49425594468
1358c670bc331cc
1424a37450c5a5a
15104ce76115285
hex788e076f4290

132551405421200 has 120 divisors (see below), whose sum is σ = 319648531232256. Its totient is φ = 52821828864000.

The previous prime is 132551405421181. The next prime is 132551405421203. The reversal of 132551405421200 is 2124504155231.

It is not an unprimeable number, because it can be changed into a prime (132551405421203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3085367720 + ... + 3085410680.

Almost surely, 2132551405421200 is an apocalyptic number.

132551405421200 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 132551405421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159824265616128).

132551405421200 is an abundant number, since it is smaller than the sum of its proper divisors (187097125811056).

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

132551405421200 is a wasteful number, since it uses less digits than its factorization.

132551405421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71713 (or 71702 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 132551405421200 its reverse (2124504155231), we get a palindrome (134675909576431).

The spelling of 132551405421200 in words is "one hundred thirty-two trillion, five hundred fifty-one billion, four hundred five million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 271 400 542 1084 1355 2168 2710 4336 5420 6775 10840 13550 21680 27100 28463 42961 54200 56926 85922 108400 113852 142315 171844 214805 227704 284630 343688 429610 455408 569260 687376 711575 859220 1074025 1138520 1423150 1718440 2148050 2277040 2846300 3436880 4296100 5692600 7713473 8592200 11385200 11642431 15426946 17184400 23284862 30853892 38567365 46569724 58212155 61707784 77134730 93139448 116424310 123415568 154269460 186278896 192836825 232848620 291060775 308538920 385673650 465697240 582121550 617077840 771347300 931394480 1164243100 1222798943 1542694600 2328486200 2445597886 3085389200 4656972400 4891195772 6113994715 9782391544 12227989430 19564783088 24455978860 30569973575 48911957720 61139947150 97823915440 122279894300 244559788600 331378513553 489119577200 662757027106 1325514054212 1656892567765 2651028108424 3313785135530 5302056216848 6627570271060 8284462838825 13255140542120 16568925677650 26510281084240 33137851355300 66275702710600 132551405421200