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136194048 = 21134821
BaseRepresentation
bin10000001111000…
…10100000000000
3100111021101010000
420013202200000
5234331202143
621303040000
73242426124
oct1007424000
9314241100
10136194048
116a972671
1239740000
13222a6bc3
1414133584
15be53bd3
hex81e2800

136194048 has 120 divisors (see below), whose sum is σ = 407296890. Its totient is φ = 45342720.

The previous prime is 136194013. The next prime is 136194059. The reversal of 136194048 is 840491631.

It can be written as a sum of positive squares in only one way, i.e., 126157824 + 10036224 = 11232^2 + 3168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165478 + ... + 166298.

Almost surely, 2136194048 is an apocalyptic number.

136194048 is a gapful number since it is divisible by the number (18) 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 136194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203648445).

136194048 is an abundant number, since it is smaller than the sum of its proper divisors (271102842).

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

136194048 is an frugal number, since it uses more digits than its factorization.

136194048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 136194048 is about 11670.2205634684. The cubic root of 136194048 is about 514.5007862358.

The spelling of 136194048 in words is "one hundred thirty-six million, one hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 821 864 1024 1152 1296 1536 1642 1728 2048 2304 2463 2592 3072 3284 3456 4608 4926 5184 6144 6568 6912 7389 9216 9852 10368 13136 13824 14778 18432 19704 20736 22167 26272 27648 29556 39408 41472 44334 52544 55296 59112 66501 78816 82944 88668 105088 118224 133002 157632 165888 177336 210176 236448 266004 315264 354672 420352 472896 532008 630528 709344 840704 945792 1064016 1261056 1418688 1681408 1891584 2128032 2522112 2837376 3783168 4256064 5044224 5674752 7566336 8512128 11349504 15132672 17024256 22699008 34048512 45398016 68097024 136194048