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134231120 = 24514911261
BaseRepresentation
bin10000000000000…
…11010001010000
3100100120122110222
420000003101100
5233330343440
621153012212
73216642242
oct1000032120
9310518428
10134231120
1169851911
1238b54068
1321a6a5ca
1413b82092
15bbb72b5
hex8003450

134231120 has 40 divisors (see below), whose sum is σ = 314209800. Its totient is φ = 53327360.

The previous prime is 134231117. The next prime is 134231129. The reversal of 134231120 is 21132431.

134231120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25321024 + 108910096 = 5032^2 + 10436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134231129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6290 + ... + 17550.

It is an arithmetic number, because the mean of its divisors is an integer number (7855245).

Almost surely, 2134231120 is an apocalyptic number.

134231120 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 134231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157104900).

134231120 is an abundant number, since it is smaller than the sum of its proper divisors (179978680).

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

134231120 is a wasteful number, since it uses less digits than its factorization.

134231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11423 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 134231120 is about 11585.8154654733. The cubic root of 134231120 is about 512.0170282423.

Adding to 134231120 its reverse (21132431), we get a palindrome (155363551).

The spelling of 134231120 in words is "one hundred thirty-four million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11261 11920 22522 45044 56305 90088 112610 180176 225220 450440 900880 1677889 3355778 6711556 8389445 13423112 16778890 26846224 33557780 67115560 134231120