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134361325056 = 293772717189
BaseRepresentation
bin111110100100010001…
…1110001111000000000
3110211210212112111212110
41331020203301320000
54200132444400211
6141420313255320
712464412263520
oct1751043617000
9424725474773
10134361325056
1151a89513202
1222059404540
13c89361614a
1467087d7680
153765bacea6
hex1f488f1e00

134361325056 has 160 divisors (see below), whose sum is σ = 409668779520. Its totient is φ = 38333915136.

The previous prime is 134361325027. The next prime is 134361325061. The reversal of 134361325056 is 650523163431.

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, 7808110 + ... + 7825298.

It is an arithmetic number, because the mean of its divisors is an integer number (2560429872).

Almost surely, 2134361325056 is an apocalyptic number.

134361325056 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 134361325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204834389760).

134361325056 is an abundant number, since it is smaller than the sum of its proper divisors (275307454464).

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

134361325056 is an equidigital number, since it uses as much as digits as its factorization.

134361325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17944 (or 17928 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

Adding to 134361325056 its reverse (650523163431), we get a palindrome (784884488487).

The spelling of 134361325056 in words is "one hundred thirty-four billion, three hundred sixty-one million, three hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 727 768 896 1344 1454 1536 1792 2181 2688 2908 3584 4362 5089 5376 5816 8724 10178 10752 11632 15267 17189 17448 20356 23264 30534 34378 34896 40712 46528 51567 61068 68756 69792 81424 93056 103134 120323 122136 137512 139584 162848 186112 206268 240646 244272 275024 279168 325696 360969 372224 412536 481292 488544 550048 558336 651392 721938 825072 962584 977088 1100096 1116672 1302784 1443876 1650144 1925168 1954176 2200192 2605568 2887752 3300288 3850336 3908352 4400384 5775504 6600576 7700672 7816704 8800768 11551008 12496403 13201152 15401344 23102016 24992806 26402304 30802688 37489209 46204032 49985612 61605376 74978418 87474821 92408064 99971224 149956836 174949642 184816128 199942448 262424463 299913672 349899284 399884896 524848926 599827344 699798568 799769792 1049697852 1199654688 1399597136 1599539584 2099395704 2399309376 2799194272 3199079168 4198791408 4798618752 5598388544 6398158336 8397582816 9597237504 11196777088 16795165632 19194475008 22393554176 33590331264 44787108352 67180662528 134361325056