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134533680 = 243519163181
BaseRepresentation
bin10000000010011…
…01001000110000
3100101011000111220
420001031020300
5233420034210
621203305040
73222342321
oct1001151060
9311130456
10134533680
1169a39166
123907b180
1321b45238
1413c20448
15bc26c70
hex804d230

134533680 has 160 divisors (see below), whose sum is σ = 444138240. Its totient is φ = 33592320.

The previous prime is 134533667. The next prime is 134533687. The reversal of 134533680 is 86335431.

It is a super-2 number, since 2×1345336802 = 36198622108684800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134533687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743190 + ... + 743370.

It is an arithmetic number, because the mean of its divisors is an integer number (2775864).

Almost surely, 2134533680 is an apocalyptic number.

134533680 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 134533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222069120).

134533680 is an abundant number, since it is smaller than the sum of its proper divisors (309604560).

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

134533680 is a wasteful number, since it uses less digits than its factorization.

134533680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 134533680 is about 11598.8654617596. The cubic root of 134533680 is about 512.4014389089.

The spelling of 134533680 in words is "one hundred thirty-four million, five hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 163 181 190 228 240 285 304 326 362 380 456 489 543 570 652 724 760 815 905 912 978 1086 1140 1304 1448 1520 1630 1810 1956 2172 2280 2445 2608 2715 2896 3097 3260 3439 3620 3912 4344 4560 4890 5430 6194 6520 6878 7240 7824 8688 9291 9780 10317 10860 12388 13040 13756 14480 15485 17195 18582 19560 20634 21720 24776 27512 29503 30970 34390 37164 39120 41268 43440 46455 49552 51585 55024 59006 61940 68780 74328 82536 88509 92910 103170 118012 123880 137560 147515 148656 165072 177018 185820 206340 236024 247760 275120 295030 354036 371640 412680 442545 472048 560557 590060 708072 743280 825360 885090 1121114 1180120 1416144 1681671 1770180 2242228 2360240 2802785 3363342 3540360 4484456 5605570 6726684 7080720 8408355 8968912 11211140 13453368 16816710 22422280 26906736 33633420 44844560 67266840 134533680