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134729216 = 291723673
BaseRepresentation
bin10000000011111…
…00111000000000
3100101111221201222
420001330320000
5233442313331
621211414212
73224115356
oct1001747000
9311457658
10134729216
116a062066
1239154368
1321bb323b
1413c717d6
15bc64b7b
hex807ce00

134729216 has 80 divisors (see below), whose sum is σ = 297864864. Its totient is φ = 60555264.

The previous prime is 134729167. The next prime is 134729237. The reversal of 134729216 is 612927431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199856 + ... + 200528.

Almost surely, 2134729216 is an apocalyptic number.

134729216 is a gapful number since it is divisible by the number (16) 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 134729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148932432).

134729216 is an abundant number, since it is smaller than the sum of its proper divisors (163135648).

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

134729216 is an equidigital number, since it uses as much as digits as its factorization.

134729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 715 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 134729216 is about 11607.2915014658. The cubic root of 134729216 is about 512.6495661823.

The spelling of 134729216 in words is "one hundred thirty-four million, seven hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 512 544 673 736 782 1088 1346 1472 1564 2176 2692 2944 3128 4352 5384 5888 6256 8704 10768 11441 11776 12512 15479 21536 22882 25024 30958 43072 45764 50048 61916 86144 91528 100096 123832 172288 183056 200192 247664 263143 344576 366112 495328 526286 732224 990656 1052572 1464448 1981312 2105144 2928896 3962624 4210288 5857792 7925248 8420576 16841152 33682304 67364608 134729216