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134319168 = 263377731
BaseRepresentation
bin10000000000110…
…00110001000000
3100100202010021000
420000120301000
5233341203133
621154532000
73220460034
oct1000306100
9310663230
10134319168
1169901a85
1238b97000
1321a9b6c9
1413ba61c4
15bbd3413
hex8018c40

134319168 has 56 divisors (see below), whose sum is σ = 394878560. Its totient is φ = 44772480.

The previous prime is 134319167. The next prime is 134319169. The reversal of 134319168 is 861913431.

It is an interprime number because it is at equal distance from previous prime (134319167) and next prime (134319169).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (134319167) 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, 37138 + ... + 40593.

Almost surely, 2134319168 is an apocalyptic number.

134319168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134319168 is an abundant number, since it is smaller than the sum of its proper divisors (260559392).

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

134319168 is an equidigital number, since it uses as much as digits as its factorization.

134319168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77752 (or 77736 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 134319168 is about 11589.6146614113. The cubic root of 134319168 is about 512.1289551481.

The spelling of 134319168 in words is "one hundred thirty-four million, three hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 77731 155462 233193 310924 466386 621848 699579 932772 1243696 1399158 1865544 2098737 2487392 2798316 3731088 4197474 4974784 5596632 7462176 8394948 11193264 14924352 16789896 22386528 33579792 44773056 67159584 134319168