Search a number
-
+
136685182752 = 2535148711821
BaseRepresentation
bin111111101001100010…
…0100101111100100000
3111001210211021201100000
41333103010211330200
54214412401322002
6142443045500000
712606120612036
oct1772304457440
9431724251300
10136685182752
1152a71249958
12225a7711600
13cb73bc2581
1468892b6556
15384ebe361c
hex1fd3125f20

136685182752 has 144 divisors (see below), whose sum is σ = 403399930752. Its totient is φ = 45527235840.

The previous prime is 136685182729. The next prime is 136685182769. The reversal of 136685182752 is 257281586631.

136685182752 is a `hidden beast` number, since 1 + 366 + 8 + 5 + 1 + 8 + 275 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11557002 + ... + 11568822.

It is an arithmetic number, because the mean of its divisors is an integer number (2801388408).

Almost surely, 2136685182752 is an apocalyptic number.

136685182752 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 136685182752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201699965376).

136685182752 is an abundant number, since it is smaller than the sum of its proper divisors (266714748000).

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

136685182752 is a wasteful number, since it uses less digits than its factorization.

136685182752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333 (or 13313 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 136685182752 in words is "one hundred thirty-six billion, six hundred eighty-five million, one hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1487 1944 2592 2974 3888 4461 5948 7776 8922 11821 11896 13383 17844 23642 23792 26766 35463 35688 40149 47284 47584 53532 70926 71376 80298 94568 106389 107064 120447 141852 142752 160596 189136 212778 214128 240894 283704 319167 321192 361341 378272 425556 428256 481788 567408 638334 642384 722682 851112 957501 963576 1134816 1276668 1284768 1445364 1702224 1915002 1927152 2553336 2872503 2890728 3404448 3830004 3854304 5106672 5745006 5781456 7660008 10213344 11490012 11562912 15320016 17577827 22980024 30640032 35155654 45960048 52733481 70311308 91920096 105466962 140622616 158200443 210933924 281245232 316400886 421867848 474601329 562490464 632801772 843735696 949202658 1265603544 1423803987 1687471392 1898405316 2531207088 2847607974 3796810632 4271411961 5062414176 5695215948 7593621264 8542823922 11390431896 15187242528 17085647844 22780863792 34171295688 45561727584 68342591376 136685182752