Search a number
-
+
134746061136 = 24341533833373
BaseRepresentation
bin111110101111101111…
…1011011100101010000
3110212210200111010112220
41331133133123211100
54201424442424021
6141522415421040
712510063423201
oct1753737334520
9425720433486
10134746061136
1152166703105
1222146224780
13c925241c2b
1467439475a8
153789858cc6
hex1f5f7db950

134746061136 has 160 divisors (see below), whose sum is σ = 364368678912. Its totient is φ = 42868101120.

The previous prime is 134746061119. The next prime is 134746061179. The reversal of 134746061136 is 631160647431.

It is a super-2 number, since 2×1347460611362 (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 31 ways as a sum of consecutive naturals, for example, 39946746 + ... + 39950118.

Almost surely, 2134746061136 is an apocalyptic number.

134746061136 is a gapful number since it is divisible by the number (16) 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 134746061136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182184339456).

134746061136 is an abundant number, since it is smaller than the sum of its proper divisors (229622617776).

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

134746061136 is a wasteful number, since it uses less digits than its factorization.

134746061136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 134746061136 in words is "one hundred thirty-four billion, seven hundred forty-six million, sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 53 82 106 123 159 164 212 246 318 328 383 424 492 636 656 766 848 984 1149 1272 1532 1968 2173 2298 2544 3064 3373 4346 4596 6128 6519 6746 8692 9192 10119 13038 13492 15703 17384 18384 20238 20299 26076 26984 31406 34768 40476 40598 47109 52152 53968 60897 62812 80952 81196 94218 104304 121794 125624 138293 161904 162392 178769 188436 243588 251248 276586 324784 357538 376872 414879 487176 536307 553172 715076 753744 829758 832259 974352 1072614 1106344 1291859 1430152 1659516 1664518 2145228 2212688 2496777 2583718 2860304 3319032 3329036 3875577 4290456 4993554 5167436 6638064 6658072 7329529 7751154 8580912 9987108 10334872 13316144 14659058 15502308 19974216 20669744 21988587 29318116 31004616 39948432 43977174 52966219 58636232 62009232 68468527 87954348 105932438 117272464 136937054 158898657 175908696 205405581 211864876 273874108 317797314 351817392 410811162 423729752 547748216 635594628 821622324 847459504 1095496432 1271189256 1643244648 2542378512 2807209607 3286489296 5614419214 8421628821 11228838428 16843257642 22457676856 33686515284 44915353712 67373030568 134746061136