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135323010100134 = 23325436473152239
BaseRepresentation
bin11110110001001101010111…
…111100100110101110100110
3122202010202100020121122022000
4132301031113330212232212
5120214113011041201014
61155450311013550130
740334523225053313
oct3661152774465646
9582122306548260
10135323010100134
113a13319137986a
121321660a345346
135a67b9c6624cc
14255b950a43d0a
15109a0de5d1509
hex7b1357f26ba6

135323010100134 has 64 divisors (see below), whose sum is σ = 300884505292800. Its totient is φ = 45082670078016.

The previous prime is 135323010100129. The next prime is 135323010100151. The reversal of 135323010100134 is 431001010323531.

135323010100134 is a `hidden beast` number, since 1 + 3 + 532 + 3 + 0 + 10 + 100 + 13 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135323010100098 and 135323010100107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888809187 + ... + 888961425.

It is an arithmetic number, because the mean of its divisors is an integer number (4701320395200).

Almost surely, 2135323010100134 is an apocalyptic number.

135323010100134 is an abundant number, since it is smaller than the sum of its proper divisors (165561495192666).

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

135323010100134 is a wasteful number, since it uses less digits than its factorization.

135323010100134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161266 (or 161260 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 135323010100134 its reverse (431001010323531), we get a palindrome (566324020423665).

The spelling of 135323010100134 in words is "one hundred thirty-five trillion, three hundred twenty-three billion, ten million, one hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 2543 5086 6473 7629 12946 15258 19419 22887 38838 45774 58257 68661 116514 137322 152239 174771 304478 349542 456717 913434 1370151 2740302 4110453 8220906 16460839 32921678 49382517 98765034 148147551 296295102 387143777 444442653 774287554 888885306 985443047 1161431331 1970886094 2322862662 2956329141 3484293993 5912658282 6968587986 8868987423 10452881979 17737974846 20905763958 26606962269 53213924538 2505981668521 5011963337042 7517945005563 15035890011126 22553835016689 45107670033378 67661505050067 135323010100134