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134341975632 = 24341223443691
BaseRepresentation
bin111110100011101100…
…1111101111001010000
3110211202112010110110010
41331013121331321100
54200113021210012
6141414342434520
712464055644304
oct1750731757120
9424675113403
10134341975632
1151a795a7747
1222052a32a40
13c88c5ccb97
146705ddbd04
153764139c3c
hex1f4767de50

134341975632 has 160 divisors (see below), whose sum is σ = 358433058816. Its totient is φ = 43331558400.

The previous prime is 134341975619. The next prime is 134341975661. The reversal of 134341975632 is 236579143431.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 194416407 + ... + 194417097.

Almost surely, 2134341975632 is an apocalyptic number.

134341975632 is a gapful number since it is divisible by the number (12) 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 134341975632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179216529408).

134341975632 is an abundant number, since it is smaller than the sum of its proper divisors (224091083184).

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

134341975632 is a wasteful number, since it uses less digits than its factorization.

134341975632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1403 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 134341975632 in words is "one hundred thirty-four billion, three hundred forty-one million, nine hundred seventy-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 223 246 328 443 446 492 656 669 691 886 892 984 1329 1338 1382 1772 1784 1968 2073 2658 2676 2764 3544 3568 4146 5316 5352 5528 7088 8292 9143 10632 10704 11056 16584 18163 18286 21264 27429 28331 33168 36326 36572 54489 54858 56662 72652 73144 84993 98789 108978 109716 113324 145304 146288 154093 169986 197578 217956 219432 226648 290608 296367 306113 308186 339972 395156 435912 438864 453296 462279 592734 612226 616372 679944 790312 871824 918339 924558 1185468 1224452 1232744 1359888 1580624 1836678 1849116 2370936 2448904 2465488 3673356 3698232 4050349 4741872 4897808 6317813 7346712 7396464 8100698 12151047 12550633 12635626 14693424 16201396 18953439 24302094 25101266 25271252 32402792 37651899 37906878 48604188 50202532 50542504 64805584 68263199 75303798 75813756 97208376 100405064 101085008 136526398 150607596 151627512 194416752 200810128 204789597 273052796 301215192 303255024 409579194 546105592 602430384 819158388 1092211184 1638316776 2798791159 3276633552 5597582318 8396373477 11195164636 16792746954 22390329272 33585493908 44780658544 67170987816 134341975632