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134217552 = 24371732309
BaseRepresentation
bin1111111111111…
…11111101010000
3100100112221212110
413333333331100
5233324430202
621152425320
73216554550
oct777777520
9310487773
10134217552
11698426a7
1238b48240
1321a64391
1413b7b160
15bbb326c
hex7ffff50

134217552 has 80 divisors (see below), whose sum is σ = 398724480. Its totient is φ = 38109696.

The previous prime is 134217541. The next prime is 134217593. The reversal of 134217552 is 255712431.

It is a nialpdrome in base 8.

It is a congruent number.

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, 56974 + ... + 59282.

It is an arithmetic number, because the mean of its divisors is an integer number (4984056).

Almost surely, 2134217552 is an apocalyptic number.

134217552 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 134217552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199362240).

134217552 is an abundant number, since it is smaller than the sum of its proper divisors (264506928).

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

134217552 is a wasteful number, since it uses less digits than its factorization.

134217552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2494 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 134217552 is about 11585.2299070843. The cubic root of 134217552 is about 511.9997762043. Note that the first 3 decimals are identical.

Adding to 134217552 its reverse (255712431), we get a palindrome (389929983).

The spelling of 134217552 in words is "one hundred thirty-four million, two hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 1038 1211 1384 2076 2309 2422 2768 3633 4152 4618 4844 6927 7266 8304 9236 9688 13854 14532 16163 18472 19376 27708 29064 32326 36944 48489 55416 58128 64652 96978 110832 129304 193956 258608 387912 399457 775824 798914 1198371 1597828 2396742 2796199 3195656 4793484 5592398 6391312 8388597 9586968 11184796 16777194 19173936 22369592 33554388 44739184 67108776 134217552