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134121204421452 = 2232374191060122669
BaseRepresentation
bin11110011111101110000110…
…101111110001001101001100
3122120212212021100012112211100
4132133232012233301031030
5120034420211312441302
61153130233011223100
740151636322252033
oct3637560657611514
9576785240175740
10134121204421452
113980a5353aa646
1213061707ba7a90
1359ab762c49aa1
1425197027a571a
151078c01119d1c
hex79fb86bf134c

134121204421452 has 144 divisors (see below), whose sum is σ = 349070862722400. Its totient is φ = 43388945740800.

The previous prime is 134121204421447. The next prime is 134121204421487. The reversal of 134121204421452 is 254124402121431.

134121204421452 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 21 + 204 + 421 + 4 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5916491574 + ... + 5916514242.

It is an arithmetic number, because the mean of its divisors is an integer number (2424103213350).

Almost surely, 2134121204421452 is an apocalyptic number.

134121204421452 is a gapful number since it is divisible by the number (12) 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 134121204421452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174535431361200).

134121204421452 is an abundant number, since it is smaller than the sum of its proper divisors (214949658300948).

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

134121204421452 is a wasteful number, since it uses less digits than its factorization.

134121204421452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33736 (or 33731 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 134121204421452 its reverse (254124402121431), we get a palindrome (388245606542883).

The spelling of 134121204421452 in words is "one hundred thirty-four trillion, one hundred twenty-one billion, two hundred four million, four hundred twenty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 419 444 666 838 1257 1332 1676 2514 3771 5028 7542 10601 15084 15503 21202 22669 31006 31803 42404 45338 46509 62012 63606 68007 90676 93018 95409 127212 136014 139527 186036 190818 204021 272028 279054 381636 392237 408042 558108 784474 816084 838753 1176711 1568948 1677506 2353422 2516259 3355012 3530133 4441819 4706844 5032518 7060266 7548777 8883638 9498311 10065036 13325457 14120532 15097554 17767276 18996622 26650914 28494933 30195108 37993244 39976371 53301828 56989866 79952742 85484799 113979732 159905484 164347303 170969598 240314069 328694606 341939196 351437507 480628138 493041909 657389212 702875014 720942207 961256276 986083818 1054312521 1405750028 1441884414 1479125727 1972167636 2108625042 2162826621 2883768828 2958251454 3162937563 4217250084 4325653242 5916502908 6325875126 8651306484 8891620553 12651750252 17783241106 26674861659 35566482212 53349723318 80024584977 100691594911 106699446636 160049169954 201383189822 302074784733 320098339908 402766379644 604149569466 906224354199 1208299138932 1812448708398 3624897416796 3725589011707 7451178023414 11176767035121 14902356046828 22353534070242 33530301105363 44707068140484 67060602210726 134121204421452