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132656135300400 = 24352986891120153
BaseRepresentation
bin11110001010011001101001…
…110100100110010100110000
3122101200210200011011220210010
4132022121221310212110300
5114341414231114103100
61150045215351334520
736641042461223505
oct3612315164462460
9571623604156703
10132656135300400
11392a5173047658
1212a65793381440
13590355c63572a
1424a883c3b14ac
151050a556ea750
hex78a669d26530

132656135300400 has 120 divisors (see below), whose sum is σ = 424946505311440. Its totient is φ = 35374579384320.

The previous prime is 132656135300341. The next prime is 132656135300407. The reversal of 132656135300400 is 4003531656231.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (132656135300407) 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, 117866724 + ... + 118986876.

Almost surely, 2132656135300400 is an apocalyptic number.

132656135300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132656135300400 is an abundant number, since it is smaller than the sum of its proper divisors (292290370011040).

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

132656135300400 is a wasteful number, since it uses less digits than its factorization.

132656135300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218863 (or 1218852 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

Adding to 132656135300400 its reverse (4003531656231), we get a palindrome (136659666956631).

The spelling of 132656135300400 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred thirty-five million, three hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 98689 197378 296067 394756 493445 592134 789512 986890 1120153 1184268 1480335 1579024 1973780 2240306 2368536 2467225 2960670 3360459 3947560 4480612 4737072 4934450 5600765 5921340 6720918 7401675 7895120 8961224 9868900 11201530 11842680 13441836 14803350 16802295 17922448 19737800 22403060 23685360 26883672 28003825 29606700 33604590 39475600 44806120 53767344 56007650 59213400 67209180 84011475 89612240 112015300 118426800 134418360 168022950 224030600 268836720 336045900 448061200 672091800 1344183600 110546779417 221093558834 331640338251 442187117668 552733897085 663280676502 884374235336 1105467794170 1326561353004 1658201691255 1768748470672 2210935588340 2653122706008 2763669485425 3316403382510 4421871176680 5306245412016 5527338970850 6632806765020 8291008456275 8843742353360 11054677941700 13265613530040 16582016912550 22109355883400 26531227060080 33164033825100 44218711766800 66328067650200 132656135300400