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132554441045200 = 24523078211314779
BaseRepresentation
bin11110001000111010111100…
…010111110011010011010000
3122101100002011220111111022211
4132020322330113303103100
5114333232443401421300
61145530400342441504
736630512422300456
oct3610727427632320
9571302156444284
10132554441045200
1139266028312549
1212a49b32133294
1358c6aa3b0b525
1424a39523229d6
15104d0a28944ba
hex788ebc5f34d0

132554441045200 has 120 divisors (see below), whose sum is σ = 319888782370080. Its totient is φ = 52784655321600.

The previous prime is 132554441045171. The next prime is 132554441045233. The reversal of 132554441045200 is 2540144455231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100161411 + ... + 101476189.

It is an arithmetic number, because the mean of its divisors is an integer number (2665739853084).

Almost surely, 2132554441045200 is an apocalyptic number.

132554441045200 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 132554441045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159944391185040).

132554441045200 is an abundant number, since it is smaller than the sum of its proper divisors (187334341324880).

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

132554441045200 is a wasteful number, since it uses less digits than its factorization.

132554441045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315925 (or 1315914 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 132554441045200 in words is "one hundred thirty-two trillion, five hundred fifty-four billion, four hundred forty-one million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 307 400 614 821 1228 1535 1642 2456 3070 3284 4105 4912 6140 6568 7675 8210 12280 13136 15350 16420 20525 24560 30700 32840 41050 61400 65680 82100 122800 164200 252047 328400 504094 1008188 1260235 1314779 2016376 2520470 2629558 4032752 5040940 5259116 6301175 6573895 10081880 10518232 12602350 13147790 20163760 21036464 25204700 26295580 32869475 50409400 52591160 65738950 100818800 105182320 131477900 262955800 403637153 525911600 807274306 1079433559 1614548612 2018185765 2158867118 3229097224 4036371530 4317734236 5397167795 6458194448 8072743060 8635468472 10090928825 10794335590 16145486120 17270936944 20181857650 21588671180 26985838975 32290972240 40363715300 43177342360 53971677950 80727430600 86354684720 107943355900 161454861200 215886711800 331386102613 431773423600 662772205226 1325544410452 1656930513065 2651088820904 3313861026130 5302177641808 6627722052260 8284652565325 13255444104520 16569305130650 26510888209040 33138610261300 66277220522600 132554441045200