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135094332753408 = 293729201430279
BaseRepresentation
bin11110101101111000011001…
…101101110000011000000000
3122201022220002022211210121210
4132231320121231300120000
5120201341143141102113
61155153251340450120
740312146334510410
oct3655703155603000
9581286068753553
10135094332753408
113a055203a34616
121319a22a849940
135a4c457cb8222
14255085a054640
1510941a86ea6c3
hex7ade19b70600

135094332753408 has 160 divisors (see below), whose sum is σ = 411329036828160. Its totient is φ = 38596969267200.

The previous prime is 135094332753389. The next prime is 135094332753433. The reversal of 135094332753408 is 804357233490531.

It is a super-2 number, since 2×1350943327534082 (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 313754013 + ... + 314184291.

It is an arithmetic number, because the mean of its divisors is an integer number (2570806480176).

Almost surely, 2135094332753408 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 135094332753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205664518414080).

135094332753408 is an abundant number, since it is smaller than the sum of its proper divisors (276234704074752).

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

135094332753408 is an equidigital number, since it uses as much as digits as its factorization.

135094332753408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459508 (or 459492 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 135094332753408 in words is "one hundred thirty-five trillion, ninety-four billion, three hundred thirty-two million, seven hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 29201 58402 87603 116804 175206 204407 233608 350412 408814 430279 467216 613221 700824 817628 860558 934432 1226442 1290837 1401648 1635256 1721116 1868864 2452884 2581674 2803296 3011953 3270512 3442232 3737728 4905768 5163348 5606592 6023906 6541024 6884464 7475456 9035859 9811536 10326696 11213184 12047812 13082048 13768928 14950912 18071718 19623072 20653392 22426368 24095624 26164096 27537856 36143436 39246144 41306784 44852736 48191248 52328192 55075712 72286872 78492288 82613568 96382496 104656384 110151424 144573744 156984576 165227136 192764992 220302848 289147488 313969152 330454272 385529984 578294976 660908544 771059968 1156589952 1542119936 2313179904 4626359808 12564577079 25129154158 37693731237 50258308316 75387462474 87952039553 100516616632 150774924948 175904079106 201033233264 263856118659 301549849896 351808158212 402066466528 527712237318 603099699792 703616316424 804132933056 1055424474636 1206199399584 1407232632848 1608265866112 2110848949272 2412398799168 2814465265696 3216531732224 4221697898544 4824797598336 5628930531392 6433063464448 8443395797088 9649595196672 11257861062784 16886791594176 19299190393344 22515722125568 33773583188352 45031444251136 67547166376704 135094332753408