Search a number
-
+
134551345104 = 24331146760631
BaseRepresentation
bin111110101001111100…
…0101001011111010000
3110212022010002112101000
41331103320221133100
54201030121020404
6141451222142000
712502210364031
oct1752370513720
9425263075330
10134551345104
11520767aa070
12220b0b81900
13c8c3ab7a47
146725b3ca88
1537776e5339
hex1f53e297d0

134551345104 has 160 divisors (see below), whose sum is σ = 422231546880. Its totient is φ = 40685155200.

The previous prime is 134551345087. The next prime is 134551345127. The reversal of 134551345104 is 401543155431.

134551345104 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 5 + 134 + 510 + 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 31 ways as a sum of consecutive naturals, for example, 2188869 + ... + 2249499.

It is an arithmetic number, because the mean of its divisors is an integer number (2638947168).

Almost surely, 2134551345104 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 134551345104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211115773440).

134551345104 is an abundant number, since it is smaller than the sum of its proper divisors (287680201776).

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

134551345104 is a wasteful number, since it uses less digits than its factorization.

134551345104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61126 (or 61114 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 134551345104 in words is "one hundred thirty-four billion, five hundred fifty-one million, three hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 467 528 594 792 934 1188 1401 1584 1868 2376 2802 3736 4203 4752 5137 5604 7472 8406 10274 11208 12609 15411 16812 20548 22416 25218 30822 33624 41096 46233 50436 60631 61644 67248 82192 92466 100872 121262 123288 138699 181893 184932 201744 242524 246576 277398 363786 369864 485048 545679 554796 666941 727572 739728 970096 1091358 1109592 1333882 1455144 1637037 2000823 2182716 2219184 2667764 2910288 3274074 4001646 4365432 5335528 6002469 6548148 8003292 8730864 10671056 12004938 13096296 16006584 18007407 24009876 26192592 28314677 32013168 36014814 48019752 56629354 72029628 84944031 96039504 113258708 144059256 169888062 226517416 254832093 288118512 311461447 339776124 453034832 509664186 622922894 679552248 764496279 934384341 1019328372 1245845788 1359104496 1528992558 1868768682 2038656744 2491691576 2803153023 3057985116 3737537364 4077313488 4983383152 5606306046 6115970232 7475074728 8409459069 11212612092 12231940464 14950149456 16818918138 22425224184 33637836276 44850448368 67275672552 134551345104