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134017000 = 235313361
BaseRepresentation
bin1111111110011…
…10111111101000
3100100011202202121
413333032333220
5233302021000
621144241024
73215061055
oct777167750
9310152677
10134017000
1169715a57
1238a70174
13219c4000
1413b2802c
15bb73b1a
hex7fcefe8

134017000 has 128 divisors (see below), whose sum is σ = 345290400. Its totient is φ = 48672000.

The previous prime is 134016991. The next prime is 134017027. The reversal of 134017000 is 710431.

It can be written as a sum of positive squares in 16 ways, for example, as 133217764 + 799236 = 11542^2 + 894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196970 + ... + 2197030.

Almost surely, 2134017000 is an apocalyptic number.

134017000 is a gapful number since it is divisible by the number (10) 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 134017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172645200).

134017000 is an abundant number, since it is smaller than the sum of its proper divisors (211273400).

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

134017000 is an equidigital number, since it uses as much as digits as its factorization.

134017000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 134017000 is about 11576.5711676645. The cubic root of 134017000 is about 511.7446338033.

Adding to 134017000 its reverse (710431), we get a palindrome (134727431).

The spelling of 134017000 in words is "one hundred thirty-four million, seventeen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 61 65 100 104 122 125 130 169 200 244 250 260 305 325 338 488 500 520 610 650 676 793 845 1000 1220 1300 1352 1525 1586 1625 1690 2197 2440 2600 3050 3172 3250 3380 3965 4225 4394 6100 6344 6500 6760 7625 7930 8450 8788 10309 10985 12200 13000 15250 15860 16900 17576 19825 20618 21125 21970 30500 31720 33800 39650 41236 42250 43940 51545 54925 61000 79300 82472 84500 87880 99125 103090 109850 134017 158600 169000 198250 206180 219700 257725 268034 274625 396500 412360 439400 515450 536068 549250 670085 793000 1030900 1072136 1098500 1288625 1340170 2061800 2197000 2577250 2680340 3350425 5154500 5360680 6700850 10309000 13401700 16752125 26803400 33504250 67008500 134017000