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135451350233064 = 233223179456951361
BaseRepresentation
bin11110110011000100111001…
…100111010110111111101000
3122202121000121111012220100200
4132303010321213112333220
5120223213331124424224
61200025254040232200
740350015505146135
oct3663047147267750
9582530544186320
10135451350233064
113a18265aaa7228
121323746716b660
135a7701369c978
142563c478b358c
15109d60186c5c9
hex7b31399d6fe8

135451350233064 has 96 divisors (see below), whose sum is σ = 384935827348800. Its totient is φ = 42946116618240.

The previous prime is 135451350233063. The next prime is 135451350233159. The reversal of 135451350233064 is 460332053154531.

135451350233064 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 5 + 1 + 350 + 233 + 0 + 64 = 666.

135451350233064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135451350233063) 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, 228179257 + ... + 228772104.

It is an arithmetic number, because the mean of its divisors is an integer number (4009748201550).

Almost surely, 2135451350233064 is an apocalyptic number.

It is an amenable number.

135451350233064 is an abundant number, since it is smaller than the sum of its proper divisors (249484477115736).

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

135451350233064 is a wasteful number, since it uses less digits than its factorization.

135451350233064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456951575 (or 456951568 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 135451350233064 in words is "one hundred thirty-five trillion, four hundred fifty-one billion, three hundred fifty million, two hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 179 184 207 276 358 414 537 552 716 828 1074 1432 1611 1656 2148 3222 4117 4296 6444 8234 12351 12888 16468 24702 32936 37053 49404 74106 98808 148212 296424 456951361 913902722 1370854083 1827805444 2741708166 3655610888 4112562249 5483416332 8225124498 10509881303 10966832664 16450248996 21019762606 31529643909 32900497992 42039525212 63059287818 81794293619 84079050424 94588931727 126118575636 163588587238 189177863454 245382880857 252237151272 327177174476 378355726908 490765761714 654354348952 736148642571 756711453816 981531523428 1472297285142 1881268753237 1963063046856 2944594570284 3762537506474 5643806259711 5889189140568 7525075012948 11287612519422 15050150025896 16931418779133 22575225038844 33862837558266 45150450077688 67725675116532 135451350233064