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136200192 = 214317163
BaseRepresentation
bin10000001111001…
…00000000000000
3100111021200112120
420013210000000
5234331401232
621303124240
73242453052
oct1007440000
9314250476
10136200192
116a977247
1239743680
13222a993b
14141358d2
15be5592c
hex81e4000

136200192 has 120 divisors (see below), whose sum is σ = 386912736. Its totient is φ = 42467328.

The previous prime is 136200191. The next prime is 136200199. The reversal of 136200192 is 291002631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136200191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835503 + ... + 835665.

Almost surely, 2136200192 is an apocalyptic number.

136200192 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 136200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193456368).

136200192 is an abundant number, since it is smaller than the sum of its proper divisors (250712544).

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

136200192 is an equidigital number, since it uses as much as digits as its factorization.

136200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 136200192 is about 11670.4837945991. The cubic root of 136200192 is about 514.5085228571.

The spelling of 136200192 in words is "one hundred thirty-six million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 163 192 204 256 272 326 384 408 489 512 544 652 768 816 978 1024 1088 1304 1536 1632 1956 2048 2176 2608 2771 3072 3264 3912 4096 4352 5216 5542 6144 6528 7824 8192 8313 8704 10432 11084 12288 13056 15648 16384 16626 17408 20864 22168 24576 26112 31296 33252 34816 41728 44336 49152 52224 62592 66504 69632 83456 88672 104448 125184 133008 139264 166912 177344 208896 250368 266016 278528 333824 354688 417792 500736 532032 667648 709376 835584 1001472 1064064 1335296 1418752 2002944 2128128 2670592 2837504 4005888 4256256 5675008 8011776 8512512 11350016 17025024 22700032 34050048 45400064 68100096 136200192