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134086656 = 21731131
BaseRepresentation
bin1111111111000…
…00000000000000
3100100022022022110
413333200000000
5233311233111
621145535320
73215501124
oct777400000
9310268273
10134086656
1169763320
1238aa4540
1321a19922
1413b45584
15bb895a6
hex7fe0000

134086656 has 144 divisors (see below), whose sum is σ = 402651648. Its totient is φ = 39321600.

The previous prime is 134086639. The next prime is 134086663. The reversal of 134086656 is 656680431.

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

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, 4325361 + ... + 4325391.

It is an arithmetic number, because the mean of its divisors is an integer number (2796192).

Almost surely, 2134086656 is an apocalyptic number.

134086656 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 134086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201325824).

134086656 is an abundant number, since it is smaller than the sum of its proper divisors (268564992).

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

134086656 is an frugal number, since it uses more digits than its factorization.

134086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 134086656 is about 11579.5792669682. The cubic root of 134086656 is about 511.8332790504.

The spelling of 134086656 in words is "one hundred thirty-four million, eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 512 528 682 704 744 768 992 1023 1024 1056 1364 1408 1488 1536 1984 2046 2048 2112 2728 2816 2976 3072 3968 4092 4096 4224 5456 5632 5952 6144 7936 8184 8192 8448 10912 11264 11904 12288 15872 16368 16384 16896 21824 22528 23808 24576 31744 32736 32768 33792 43648 45056 47616 49152 63488 65472 65536 67584 87296 90112 95232 98304 126976 130944 131072 135168 174592 180224 190464 196608 253952 261888 270336 349184 360448 380928 393216 507904 523776 540672 698368 720896 761856 1015808 1047552 1081344 1396736 1441792 1523712 2031616 2095104 2162688 2793472 3047424 4063232 4190208 4325376 5586944 6094848 8380416 11173888 12189696 16760832 22347776 33521664 44695552 67043328 134086656