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135267667065468 = 223273331161145739
BaseRepresentation
bin11110110000011001110101…
…001111101011101001111100
3122201221110111021221012000100
4132300121311033223221330
5120212211140232043333
61155405035224401100
740330523614036110
oct3660316517535174
9581843437835010
10135267667065468
113a111771701793
1213207944016190
135a628bc979212
142558dc0879740
151098950b25213
hex7b06753eba7c

135267667065468 has 72 divisors (see below), whose sum is σ = 390890576935040. Its totient is φ = 38636302142880.

The previous prime is 135267667065463. The next prime is 135267667065469. The reversal of 135267667065468 is 864560766762531.

135267667065468 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 6 + 7 + 6 + 6 + 70 + 6 + 546 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135267667065396 and 135267667065405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135267667065463) 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, 79733458 + ... + 81412281.

Almost surely, 2135267667065468 is an apocalyptic number.

135267667065468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135267667065468 is an abundant number, since it is smaller than the sum of its proper divisors (255622909869572).

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

135267667065468 is a wasteful number, since it uses less digits than its factorization.

135267667065468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161149087 (or 161149082 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 72.

The spelling of 135267667065468 in words is "one hundred thirty-five trillion, two hundred sixty-seven billion, six hundred sixty-seven million, sixty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3331 6662 9993 13324 19986 23317 29979 39972 46634 59958 69951 93268 119916 139902 209853 279804 419706 839412 161145739 322291478 483437217 644582956 966874434 1128020173 1450311651 1933748868 2256040346 2900623302 3384060519 4512080692 5801246604 6768121038 10152181557 13536242076 20304363114 40608726228 536776456609 1073552913218 1610329369827 2147105826436 3220658739654 3757435196263 4830988109481 6441317479308 7514870392526 9661976218962 11272305588789 15029740785052 19323952437924 22544611177578 33816916766367 45089222355156 67633833532734 135267667065468