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136111752 = 2334737811
BaseRepresentation
bin10000001110011…
…10011010001000
3100111010012020000
420013032122020
5234321034002
621301203000
73241634160
oct1007163210
9314105200
10136111752
116a916857
1239700460
13222785ca
14141115a0
15be3961c
hex81ce688

136111752 has 160 divisors (see below), whose sum is σ = 448029120. Its totient is φ = 37791360.

The previous prime is 136111747. The next prime is 136111753. The reversal of 136111752 is 257111631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (136111753) 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 39 ways as a sum of consecutive naturals, for example, 167427 + ... + 168237.

It is an arithmetic number, because the mean of its divisors is an integer number (2800182).

Almost surely, 2136111752 is an apocalyptic number.

136111752 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 136111752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224014560).

136111752 is an abundant number, since it is smaller than the sum of its proper divisors (311917368).

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

136111752 is a wasteful number, since it uses less digits than its factorization.

136111752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 136111752 is about 11666.6941333010. The cubic root of 136111752 is about 514.3971353824.

The spelling of 136111752 in words is "one hundred thirty-six million, one hundred eleven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 81 84 108 111 126 148 162 168 189 216 222 252 259 296 324 333 378 444 504 518 567 648 666 756 777 811 888 999 1036 1134 1332 1512 1554 1622 1998 2072 2268 2331 2433 2664 2997 3108 3244 3996 4536 4662 4866 5677 5994 6216 6488 6993 7299 7992 9324 9732 11354 11988 13986 14598 17031 18648 19464 20979 21897 22708 23976 27972 29196 30007 34062 41958 43794 45416 51093 55944 58392 60014 65691 68124 83916 87588 90021 102186 120028 131382 136248 153279 167832 175176 180042 204372 210049 240056 262764 270063 306558 360084 408744 420098 459837 525528 540126 613116 630147 720168 810189 840196 919674 1080252 1226232 1260294 1620378 1680392 1839348 1890441 2160504 2430567 2520588 3240756 3678696 3780882 4861134 5041176 5671323 6481512 7561764 9722268 11342646 15123528 17013969 19444536 22685292 34027938 45370584 68055876 136111752