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136803168 = 253573241
BaseRepresentation
bin10000010011101…
…11001101100000
3100112102022200000
420021313031200
5240010200133
621324100000
73250544025
oct1011671540
9315368600
10136803168
1170249277
1239994600
132245b228
141425154c
15c024413
hex8277360

136803168 has 144 divisors (see below), whose sum is σ = 410666256. Its totient is φ = 44789760.

The previous prime is 136803151. The next prime is 136803181. The reversal of 136803168 is 861308631.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567528 + ... + 567768.

It is an arithmetic number, because the mean of its divisors is an integer number (2851849).

Almost surely, 2136803168 is an apocalyptic number.

136803168 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 136803168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205333128).

136803168 is an abundant number, since it is smaller than the sum of its proper divisors (273863088).

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

136803168 is an equidigital number, since it uses as much as digits as its factorization.

136803168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

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

The square root of 136803168 is about 11696.2886421292. The cubic root of 136803168 is about 515.2666705767.

The spelling of 136803168 in words is "one hundred thirty-six million, eight hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 241 243 288 292 324 432 438 482 486 584 648 657 723 864 876 964 972 1168 1296 1314 1446 1752 1928 1944 1971 2169 2336 2592 2628 2892 3504 3856 3888 3942 4338 5256 5784 5913 6507 7008 7712 7776 7884 8676 10512 11568 11826 13014 15768 17352 17593 17739 19521 21024 23136 23652 26028 31536 34704 35186 35478 39042 47304 52056 52779 58563 63072 69408 70372 70956 78084 94608 104112 105558 117126 140744 141912 156168 158337 189216 208224 211116 234252 281488 283824 312336 316674 422232 468504 475011 562976 567648 624672 633348 844464 937008 950022 1266696 1425033 1688928 1874016 1900044 2533392 2850066 3800088 4275099 5066784 5700132 7600176 8550198 11400264 15200352 17100396 22800528 34200792 45601056 68401584 136803168