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136554336 = 2535171033
BaseRepresentation
bin10000010001110…
…10011101100000
3100111221200100000
420020322131200
5234424214321
621314500000
73245456412
oct1010723540
9314850300
10136554336
1170099326
1239894600
13223a1ba9
14141c89b2
15bec5826
hex823a760

136554336 has 144 divisors (see below), whose sum is σ = 426810384. Its totient is φ = 42799104.

The previous prime is 136554331. The next prime is 136554343. The reversal of 136554336 is 633455631.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 136554336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136554331) 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 23 ways as a sum of consecutive naturals, for example, 131676 + ... + 132708.

It is an arithmetic number, because the mean of its divisors is an integer number (2963961).

Almost surely, 2136554336 is an apocalyptic number.

136554336 is a gapful number since it is divisible by the number (16) 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 136554336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213405192).

136554336 is an abundant number, since it is smaller than the sum of its proper divisors (290256048).

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

136554336 is a wasteful number, since it uses less digits than its factorization.

136554336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1055 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 136554336 is about 11685.6465803138. The cubic root of 136554336 is about 514.9540738887.

The spelling of 136554336 in words is "one hundred thirty-six million, five hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 816 864 918 972 1033 1224 1296 1377 1632 1836 1944 2066 2448 2592 2754 3099 3672 3888 4131 4132 4896 5508 6198 7344 7776 8262 8264 9297 11016 12396 14688 16524 16528 17561 18594 22032 24792 27891 33048 33056 35122 37188 44064 49584 52683 55782 66096 70244 74376 83673 99168 105366 111564 132192 140488 148752 158049 167346 210732 223128 251019 280976 297504 316098 334692 421464 446256 474147 502038 561952 632196 669384 842928 892512 948294 1004076 1264392 1338768 1422441 1685856 1896588 2008152 2528784 2677536 2844882 3793176 4016304 4267323 5057568 5689764 7586352 8032608 8534646 11379528 15172704 17069292 22759056 34138584 45518112 68277168 136554336