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134243616 = 25313263409
BaseRepresentation
bin10000000000001…
…10010100100000
3100100121021121210
420000012110200
5233331243431
621153150120
73220023543
oct1000062440
9310537553
10134243616
1169860241
1238b5b340
1321a731c0
1413b8685a
15bbbad46
hex8006520

134243616 has 96 divisors (see below), whose sum is σ = 381870720. Its totient is φ = 41048064.

The previous prime is 134243587. The next prime is 134243621. The reversal of 134243616 is 616342431.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 328020 + ... + 328428.

It is an arithmetic number, because the mean of its divisors is an integer number (3977820).

Almost surely, 2134243616 is an apocalyptic number.

134243616 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 134243616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190935360).

134243616 is an abundant number, since it is smaller than the sum of its proper divisors (247627104).

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

134243616 is a wasteful number, since it uses less digits than its factorization.

134243616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 134243616 is about 11586.3547330470. The cubic root of 134243616 is about 512.0329161781.

The spelling of 134243616 in words is "one hundred thirty-four million, two hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 263 312 409 416 526 624 789 818 1052 1227 1248 1578 1636 2104 2454 3156 3272 3419 4208 4908 5317 6312 6544 6838 8416 9816 10257 10634 12624 13088 13676 15951 19632 20514 21268 25248 27352 31902 39264 41028 42536 54704 63804 82056 85072 107567 109408 127608 164112 170144 215134 255216 322701 328224 430268 510432 645402 860536 1290804 1398371 1721072 2581608 2796742 3442144 4195113 5163216 5593484 8390226 10326432 11186968 16780452 22373936 33560904 44747872 67121808 134243616