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134120112 = 2437563709
BaseRepresentation
bin1111111111010…
…00001010110000
3100100101000012120
413333220022300
5233313320422
621150354240
73216000510
oct777501260
9310330176
10134120112
1169786475
1238abb980
1321a2bc19
1413b53840
15bb9445c
hex7fe82b0

134120112 has 80 divisors (see below), whose sum is σ = 397236480. Its totient is φ = 38198016.

The previous prime is 134120101. The next prime is 134120171. The reversal of 134120112 is 211021431.

It is a junction number, because it is equal to n+sod(n) for n = 134120091 and 134120100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188814 + ... + 189522.

It is an arithmetic number, because the mean of its divisors is an integer number (4965456).

Almost surely, 2134120112 is an apocalyptic number.

134120112 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 134120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198618240).

134120112 is an abundant number, since it is smaller than the sum of its proper divisors (263116368).

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

134120112 is a wasteful number, since it uses less digits than its factorization.

134120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 134120112 is about 11581.0237889403. The cubic root of 134120112 is about 511.8758447332.

Adding to 134120112 its reverse (211021431), we get a palindrome (345141543).

The spelling of 134120112 in words is "one hundred thirty-four million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 563 709 1126 1418 1689 2127 2252 2836 3378 3941 4254 4504 4963 5672 6756 7882 8508 9008 9926 11344 11823 13512 14889 15764 17016 19852 23646 27024 29778 31528 34032 39704 47292 59556 63056 79408 94584 119112 189168 238224 399167 798334 1197501 1596668 2395002 2794169 3193336 4790004 5588338 6386672 8382507 9580008 11176676 16765014 19160016 22353352 33530028 44706704 67060056 134120112