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134115168 = 25311891427
BaseRepresentation
bin1111111111001…
…10111101100000
3100100100202102110
413333212331200
5233313141133
621150315320
73215650215
oct777467540
9310322373
10134115168
1169782790
1238ab8b40
1321a298b5
1413b51b0c
15bb92c63
hex7fe6f60

134115168 has 96 divisors (see below), whose sum is σ = 388644480. Its totient is φ = 40156160.

The previous prime is 134115161. The next prime is 134115197. The reversal of 134115168 is 861511431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134115161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93271 + ... + 94697.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2134115168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134115168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194322240).

134115168 is an abundant number, since it is smaller than the sum of its proper divisors (254529312).

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

134115168 is a wasteful number, since it uses less digits than its factorization.

134115168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1532 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 134115168 is about 11580.8103343419. The cubic root of 134115168 is about 511.8695549848.

Adding to 134115168 its reverse (861511431), we get a palindrome (995626599).

The spelling of 134115168 in words is "one hundred thirty-four million, one hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 89 96 132 176 178 264 267 352 356 528 534 712 979 1056 1068 1424 1427 1958 2136 2848 2854 2937 3916 4272 4281 5708 5874 7832 8544 8562 11416 11748 15664 15697 17124 22832 23496 31328 31394 34248 45664 46992 47091 62788 68496 93984 94182 125576 127003 136992 188364 251152 254006 376728 381009 502304 508012 753456 762018 1016024 1397033 1506912 1524036 2032048 2794066 3048072 4064096 4191099 5588132 6096144 8382198 11176264 12192288 16764396 22352528 33528792 44705056 67057584 134115168