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136180352 = 2771141337
BaseRepresentation
bin10000001110111…
…11001010000000
3100111020200022202
420013133022000
5234330232402
621302452332
73242341160
oct1007371200
9314220282
10136180352
116a963350
12397340a8
13222a08b9
141412c5a0
15be4eb02
hex81df280

136180352 has 128 divisors (see below), whose sum is σ = 347518080. Its totient is φ = 51609600.

The previous prime is 136180321. The next prime is 136180357. The reversal of 136180352 is 253081631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (136180357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403928 + ... + 404264.

It is an arithmetic number, because the mean of its divisors is an integer number (2714985).

Almost surely, 2136180352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136180352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173759040).

136180352 is an abundant number, since it is smaller than the sum of its proper divisors (211337728).

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

136180352 is a wasteful number, since it uses less digits than its factorization.

136180352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 136180352 is about 11669.6337560354. The cubic root of 136180352 is about 514.4835391801.

The spelling of 136180352 in words is "one hundred thirty-six million, one hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 112 128 154 164 176 224 287 308 328 337 352 448 451 574 616 656 674 704 896 902 1148 1232 1312 1348 1408 1804 2296 2359 2464 2624 2696 3157 3608 3707 4592 4718 4928 5248 5392 6314 7216 7414 9184 9436 9856 10784 12628 13817 14432 14828 18368 18872 21568 25256 25949 27634 28864 29656 36736 37744 43136 50512 51898 55268 57728 59312 75488 96719 101024 103796 110536 118624 150976 151987 193438 202048 207592 221072 237248 301952 303974 386876 404096 415184 442144 474496 607948 773752 830368 884288 1063909 1215896 1547504 1660736 1768576 2127818 2431792 3095008 3321472 4255636 4863584 6190016 8511272 9727168 12380032 17022544 19454336 34045088 68090176 136180352