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134314752 = 28311131223
BaseRepresentation
bin10000000000101…
…11101100000000
3100100201220012110
420000113230000
5233341033002
621154455320
73220441125
oct1000275400
9310656173
10134314752
11698a9730
1238b94540
1321a996b0
1413ba474c
15bbd1e6c
hex8017b00

134314752 has 144 divisors (see below), whose sum is σ = 420311808. Its totient is φ = 37539840.

The previous prime is 134314751. The next prime is 134314753. The reversal of 134314752 is 257413431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134314751) and next prime (134314753).

It is not an unprimeable number, because it can be changed into a prime (134314751) 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, 109213 + ... + 110435.

It is an arithmetic number, because the mean of its divisors is an integer number (2918832).

Almost surely, 2134314752 is an apocalyptic number.

134314752 is a gapful number since it is divisible by the number (12) 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 134314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210155904).

134314752 is an abundant number, since it is smaller than the sum of its proper divisors (285997056).

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

134314752 is a wasteful number, since it uses less digits than its factorization.

134314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1252 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 134314752 is about 11589.4241444517. The cubic root of 134314752 is about 512.1233426797.

The spelling of 134314752 in words is "one hundred thirty-four million, three hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1223 1248 1408 1664 1716 2112 2288 2446 2496 2816 3328 3432 3669 4224 4576 4892 4992 6864 7338 8448 9152 9784 9984 13453 13728 14676 15899 18304 19568 26906 27456 29352 31798 36608 39136 40359 47697 53812 54912 58704 63596 78272 80718 95394 107624 109824 117408 127192 156544 161436 174889 190788 215248 234816 254384 313088 322872 349778 381576 430496 469632 508768 524667 645744 699556 763152 860992 939264 1017536 1049334 1291488 1399112 1526304 1721984 2035072 2098668 2582976 2798224 3052608 3443968 4070144 4197336 5165952 5596448 6105216 8394672 10331904 11192896 12210432 16789344 22385792 33578688 44771584 67157376 134314752