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135460333404 = 2232113710389759
BaseRepresentation
bin111111000101000010…
…0001010011101011100
3110221122110111220220100
41332022010022131130
54204410321132104
6142121333021100
712533555556504
oct1761204123534
9427573456810
10135460333404
11524a2910470
1222305484790
13ca0a20a646
1467b0758a04
1537cc3ea139
hex1f8a10a75c

135460333404 has 144 divisors (see below), whose sum is σ = 387366819840. Its totient is φ = 39550965120.

The previous prime is 135460333387. The next prime is 135460333423. The reversal of 135460333404 is 404333064531.

135460333404 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 603 + 3 + 3 + 40 + 4 = 666.

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

It is a congruent number.

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, 1464277 + ... + 1554035.

It is an arithmetic number, because the mean of its divisors is an integer number (2690047360).

Almost surely, 2135460333404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135460333404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193683409920).

135460333404 is an abundant number, since it is smaller than the sum of its proper divisors (251906486436).

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

135460333404 is a wasteful number, since it uses less digits than its factorization.

135460333404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89920 (or 89915 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 135460333404 its reverse (404333064531), we get a palindrome (539793397935).

It can be divided in two parts, 135460 and 333404, that added together give a palindrome (468864).

The spelling of 135460333404 in words is "one hundred thirty-five billion, four hundred sixty million, three hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 103 111 132 148 198 206 222 309 333 396 407 412 444 618 666 814 927 1133 1221 1236 1332 1628 1854 2266 2442 3399 3663 3708 3811 4532 4884 6798 7326 7622 10197 11433 13596 14652 15244 20394 22866 34299 40788 41921 45732 68598 83842 89759 125763 137196 167684 179518 251526 269277 359036 377289 503052 538554 754578 807831 987349 1077108 1509156 1615662 1974698 2962047 3231324 3321083 3949396 5924094 6642166 8886141 9245177 9963249 11848188 13284332 17772282 18490354 19926498 27735531 29889747 35544564 36531913 36980708 39852996 55471062 59779494 73063826 83206593 101696947 109595739 110942124 119558988 146127652 166413186 203393894 219191478 305090841 328787217 332826372 342071549 406787788 438382956 610181682 657574434 684143098 915272523 1026214647 1220363364 1315148868 1368286196 1830545046 2052429294 3078643941 3661090092 3762787039 4104858588 6157287882 7525574078 11288361117 12314575764 15051148156 22576722234 33865083351 45153444468 67730166702 135460333404