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134666801352 = 233271257102503
BaseRepresentation
bin111110101101011000…
…1000101000011001000
3110212121011100022120100
41331122301011003020
54201244200120402
6141510504525400
712505111632126
oct1753261050310
9425534308510
10134666801352
1152125998056
1222123780860
13c9119b0755
1467371d4916
1537828ee71c
hex1f5ac450c8

134666801352 has 96 divisors (see below), whose sum is σ = 371302289280. Its totient is φ = 44084060160.

The previous prime is 134666801329. The next prime is 134666801363. The reversal of 134666801352 is 253108666431.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 134666801298 and 134666801307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1262533 + ... + 1365035.

It is an arithmetic number, because the mean of its divisors is an integer number (3867732180).

Almost surely, 2134666801352 is an apocalyptic number.

134666801352 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 134666801352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185651144640).

134666801352 is an abundant number, since it is smaller than the sum of its proper divisors (236635487928).

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

134666801352 is a wasteful number, since it uses less digits than its factorization.

134666801352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102843 (or 102836 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 134666801352 in words is "one hundred thirty-four billion, six hundred sixty-six million, eight hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 257 284 426 514 568 639 771 852 1028 1278 1542 1704 2056 2313 2556 3084 4626 5112 6168 9252 18247 18504 36494 54741 72988 102503 109482 145976 164223 205006 218964 307509 328446 410012 437928 615018 656892 820024 922527 1230036 1313784 1845054 2460072 3690108 7277713 7380216 14555426 21833139 26343271 29110852 43666278 52686542 58221704 65499417 79029813 87332556 105373084 130998834 158059626 174665112 210746168 237089439 261997668 316119252 474178878 523995336 632238504 948357756 1870372241 1896715512 3740744482 5611116723 7481488964 11222233446 14962977928 16833350169 22444466892 33666700338 44888933784 67333400676 134666801352