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134275342096 = 24722325692
BaseRepresentation
bin111110100001101101…
…1110001111100010000
3110211120212202010102101
41331003123301330100
54144443441421341
6141404002330144
712462316401400
oct1750333617420
9424525663371
10134275342096
1151a44a25a05
1222034659954
13c87b86c75c
1466db214800
15375d376831
hex1f436f1f10

134275342096 has 135 divisors (see below), whose sum is σ = 316920360981. Its totient is φ = 54947811072.

The previous prime is 134275342093. The next prime is 134275342099. The reversal of 134275342096 is 690243572431.

The square root of 134275342096 is 366436.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (134275342093) and next prime (134275342099).

It can be written as a sum of positive squares in only one way, i.e., 22130727696 + 112144614400 = 148764^2 + 334880^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (134275342093) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 235984500 + ... + 235985068.

Almost surely, 2134275342096 is an apocalyptic number.

134275342096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

134275342096 is the 366436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134275342096

134275342096 is an abundant number, since it is smaller than the sum of its proper divisors (182645018885).

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

134275342096 is an frugal number, since it uses more digits than its factorization.

134275342096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 134275342096 in words is "one hundred thirty-four billion, two hundred seventy-five million, three hundred forty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 529 569 644 784 1058 1127 1138 1288 2116 2254 2276 2576 3703 3983 4232 4508 4552 7406 7966 8464 9016 9104 13087 14812 15932 18032 25921 26174 27881 29624 31864 51842 52348 55762 59248 63728 91609 103684 104696 111524 183218 207368 209392 223048 301001 323761 366436 414736 446096 602002 641263 647522 732872 1204004 1282526 1295044 1465744 2107007 2266327 2408008 2565052 2590088 4214014 4532654 4816016 5130104 5180176 7446503 8428028 9065308 10260208 14749049 14893006 15864289 16856056 18130616 29498098 29786012 31728578 33712112 36261232 52125521 58996196 59572024 63457156 104251042 117992392 119144048 126914312 171269569 208502084 235984784 253828624 342539138 364878647 417004168 685078276 729757294 834008336 1198886983 1370156552 1459514588 2397773966 2740313104 2919029176 4795547932 5838058352 8392208881 9591095864 16784417762 19182191728 33568835524 67137671048 134275342096