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134988012 = 223323311753
BaseRepresentation
bin10000000101111…
…00000011101100
3100102000002202000
420002330003230
5234024104022
621221132300
73226244025
oct1002740354
9312002660
10134988012
116a219545
123925a090
1321c73c83
1413cdbc4c
15bcb66ac
hex80bc0ec

134988012 has 96 divisors (see below), whose sum is σ = 377180160. Its totient is φ = 41627520.

The previous prime is 134988001. The next prime is 134988019. The reversal of 134988012 is 210889431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134988019) 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 31 ways as a sum of consecutive naturals, for example, 76128 + ... + 77880.

It is an arithmetic number, because the mean of its divisors is an integer number (3928960).

Almost surely, 2134988012 is an apocalyptic number.

134988012 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 134988012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188590080).

134988012 is an abundant number, since it is smaller than the sum of its proper divisors (242192148).

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

134988012 is a wasteful number, since it uses less digits than its factorization.

134988012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 134988012 is about 11618.4341457875. The cubic root of 134988012 is about 512.9775989671.

The spelling of 134988012 in words is "one hundred thirty-four million, nine hundred eighty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 92 93 108 124 138 186 207 276 279 372 414 558 621 713 828 837 1116 1242 1426 1674 1753 2139 2484 2852 3348 3506 4278 5259 6417 7012 8556 10518 12834 15777 19251 21036 25668 31554 38502 40319 47331 54343 63108 77004 80638 94662 108686 120957 161276 163029 189324 217372 241914 326058 362871 483828 489087 652116 725742 978174 1088613 1249889 1451484 1467261 1956348 2177226 2499778 2934522 3749667 4354452 4999556 5869044 7499334 11249001 14998668 22498002 33747003 44996004 67494006 134988012