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136484544 = 2637173587
BaseRepresentation
bin10000010001010…
…01011011000000
3100111211010121010
420020221123000
5234420001134
621313200520
73245046060
oct1010513300
9314733533
10136484544
1170050949
1239860140
13223791b1
14141ab3a0
15beaece9
hex82296c0

136484544 has 112 divisors (see below), whose sum is σ = 415795968. Its totient is φ = 38704128.

The previous prime is 136484533. The next prime is 136484549. The reversal of 136484544 is 445484631.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (136484549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232219 + ... + 232805.

It is an arithmetic number, because the mean of its divisors is an integer number (3712464).

Almost surely, 2136484544 is an apocalyptic number.

136484544 is a gapful number since it is divisible by the number (14) 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 136484544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207897984).

136484544 is an abundant number, since it is smaller than the sum of its proper divisors (279311424).

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

136484544 is a wasteful number, since it uses less digits than its factorization.

136484544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 772 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 136484544 is about 11682.6599710854. The cubic root of 136484544 is about 514.8663290872.

The spelling of 136484544 in words is "one hundred thirty-six million, four hundred eighty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 173 192 224 336 346 448 519 587 672 692 1038 1174 1211 1344 1384 1761 2076 2348 2422 2768 3522 3633 4109 4152 4696 4844 5536 7044 7266 8218 8304 9392 9688 11072 12327 14088 14532 16436 16608 18784 19376 24654 28176 29064 32872 33216 37568 38752 49308 56352 58128 65744 77504 98616 101551 112704 116256 131488 197232 203102 232512 262976 304653 394464 406204 609306 710857 788928 812408 1218612 1421714 1624816 2132571 2437224 2843428 3249632 4265142 4874448 5686856 6499264 8530284 9748896 11373712 17060568 19497792 22747424 34121136 45494848 68242272 136484544