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134916912 = 24321397743
BaseRepresentation
bin10000000101010…
…10101100110000
3100101212111012200
420002222230300
5234014320122
621215423200
73225526524
oct1002525460
9311774180
10134916912
116a180089
1239224b00
1321c4a7c0
1413cbdd84
15bca05ac
hex80aab30

134916912 has 120 divisors (see below), whose sum is σ = 411369504. Its totient is φ = 41029632.

The previous prime is 134916889. The next prime is 134916923. The reversal of 134916912 is 219619431.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181213 + ... + 181955.

Almost surely, 2134916912 is an apocalyptic number.

134916912 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 134916912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205684752).

134916912 is an abundant number, since it is smaller than the sum of its proper divisors (276452592).

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

134916912 is a wasteful number, since it uses less digits than its factorization.

134916912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 134916912 is about 11615.3739500715. The cubic root of 134916912 is about 512.8875190848.

The spelling of 134916912 in words is "one hundred thirty-four million, nine hundred sixteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 97 104 117 144 156 194 208 234 291 312 388 468 582 624 743 776 873 936 1164 1261 1486 1552 1746 1872 2229 2328 2522 2972 3492 3783 4458 4656 5044 5944 6687 6984 7566 8916 9659 10088 11349 11888 13374 13968 15132 17832 19318 20176 22698 26748 28977 30264 35664 38636 45396 53496 57954 60528 72071 77272 86931 90792 106992 115908 144142 154544 173862 181584 216213 231816 288284 347724 432426 463632 576568 648639 695448 864852 936923 1153136 1297278 1390896 1729704 1873846 2594556 2810769 3459408 3747692 5189112 5621538 7495384 8432307 10378224 11243076 14990768 16864614 22486152 33729228 44972304 67458456 134916912