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134745791868 = 22331132199491
BaseRepresentation
bin111110101111101111…
…0011001110101111100
3110212210122222110012000
41331133132121311330
54201424410314433
6141522405542300
712510061222152
oct1753736316574
9425718873160
10134745791868
1152166539876
1222146114990
13c9251794bc
1467438b73d2
153789804113
hex1f5f799d7c

134745791868 has 144 divisors (see below), whose sum is σ = 354952416000. Its totient is φ = 44203864320.

The previous prime is 134745791821. The next prime is 134745791891. The reversal of 134745791868 is 868197547431.

134745791868 is a `hidden beast` number, since 1 + 3 + 47 + 4 + 579 + 18 + 6 + 8 = 666.

It is a super-2 number, since 2×1347457918682 (a number of 23 digits) contains 22 as substring.

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, 274431103 + ... + 274431593.

Almost surely, 2134745791868 is an apocalyptic number.

134745791868 is a gapful number since it is divisible by the number (18) 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 134745791868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177476208000).

134745791868 is an abundant number, since it is smaller than the sum of its proper divisors (220206624132).

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

134745791868 is a wasteful number, since it uses less digits than its factorization.

134745791868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 808 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 134745791868 in words is "one hundred thirty-four billion, seven hundred forty-five million, seven hundred ninety-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 199 226 339 398 452 491 597 678 796 982 1017 1194 1356 1473 1791 1964 2034 2388 2946 3051 3582 4068 4419 5373 5892 6102 7164 8838 10746 12204 12769 13257 17676 21492 22487 25538 26514 38307 44974 51076 53028 55483 67461 76614 89948 97709 110966 114921 134922 153228 166449 195418 202383 221932 229842 269844 293127 332898 344763 390836 404766 459684 499347 586254 607149 665796 689526 809532 879381 998694 1172508 1214298 1379052 1498041 1758762 1997388 2428596 2541031 2638143 2996082 3517524 5082062 5276286 5992164 6269579 7623093 10164124 10552572 11041117 12539158 15246186 18808737 22082234 22869279 25078316 30492372 33123351 37617474 44164468 45738558 56426211 66246702 68607837 75234948 91477116 99370053 112852422 132493404 137215674 169278633 198740106 225704844 274431348 298110159 338557266 397480212 596220318 677114532 1192440636 1247646221 2495292442 3742938663 4990584884 7485877326 11228815989 14971754652 22457631978 33686447967 44915263956 67372895934 134745791868