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134114120 = 23574611039
BaseRepresentation
bin1111111111001…
…10101101001000
3100100100200222122
413333212231020
5233313122440
621150310412
73215644160
oct777465510
9310320878
10134114120
1169781a18
1238ab8408
1321a2928a
1413b515a0
15bb927b5
hex7fe6b48

134114120 has 64 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 45838080.

The previous prime is 134114111. The next prime is 134114129. The reversal of 134114120 is 21411431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134114111) and next prime (134114129).

It is not an unprimeable number, because it can be changed into a prime (134114129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128561 + ... + 129599.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2134114120 is an apocalyptic number.

134114120 is a gapful number since it is divisible by the number (10) 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 134114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

134114120 is an abundant number, since it is smaller than the sum of its proper divisors (211831480).

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

134114120 is a wasteful number, since it uses less digits than its factorization.

134114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 134114120 is about 11580.7650869880. The cubic root of 134114120 is about 511.8682217011.

Adding to 134114120 its reverse (21411431), we get a palindrome (155525551).

The spelling of 134114120 in words is "one hundred thirty-four million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 461 922 1039 1844 2078 2305 3227 3688 4156 4610 5195 6454 7273 8312 9220 10390 12908 14546 16135 18440 20780 25816 29092 32270 36365 41560 58184 64540 72730 129080 145460 290920 478979 957958 1915916 2394895 3352853 3831832 4789790 6705706 9579580 13411412 16764265 19159160 26822824 33528530 67057060 134114120