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134878464 = 283278363
BaseRepresentation
bin10000000101000…
…01010100000000
3100101210112110200
420002201110000
5234012102324
621214525200
73225306450
oct1002412400
9311715420
10134878464
116a154206
1239206800
1321c36156
1413cadd60
15bc93ec9
hex80a1500

134878464 has 108 divisors (see below), whose sum is σ = 444496416. Its totient is φ = 38532096.

The previous prime is 134878441. The next prime is 134878477. The reversal of 134878464 is 464878431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11947 + ... + 20309.

Almost surely, 2134878464 is an apocalyptic number.

134878464 is a gapful number since it is divisible by the number (14) 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 134878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222248208).

134878464 is an abundant number, since it is smaller than the sum of its proper divisors (309617952).

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

134878464 is an equidigital number, since it uses as much as digits as its factorization.

134878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8375 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 134878464 is about 11613.7187842654. The cubic root of 134878464 is about 512.8387943486.

The spelling of 134878464 in words is "one hundred thirty-four million, eight hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 8363 16128 16726 25089 33452 50178 58541 66904 75267 100356 117082 133808 150534 175623 200712 234164 267616 301068 351246 401424 468328 526869 535232 602136 702492 802848 936656 1053738 1070464 1204272 1404984 1605696 1873312 2107476 2140928 2408544 2809968 3211392 3746624 4214952 4817088 5619936 6422784 7493248 8429904 9634176 11239872 14986496 16859808 19268352 22479744 33719616 44959488 67439232 134878464