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134720784 = 243211175003
BaseRepresentation
bin10000000011110…
…10110100010000
3100101111112011200
420001322310100
5233442031114
621211311200
73224051652
oct1001726420
9311445150
10134720784
116a0567a0
123914b500
1321bac453
1413c6c6d2
15bc62409
hex807ad10

134720784 has 120 divisors (see below), whose sum is σ = 435588192. Its totient is φ = 38415360.

The previous prime is 134720783. The next prime is 134720791. The reversal of 134720784 is 487027431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134720783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24427 + ... + 29429.

Almost surely, 2134720784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134720784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217794096).

134720784 is an abundant number, since it is smaller than the sum of its proper divisors (300867408).

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

134720784 is a wasteful number, since it uses less digits than its factorization.

134720784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 134720784 is about 11606.9282758187. The cubic root of 134720784 is about 512.6388712703.

The spelling of 134720784 in words is "one hundred thirty-four million, seven hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 5003 6732 8976 10006 13464 15009 20012 26928 30018 40024 45027 55033 60036 80048 85051 90054 110066 120072 165099 170102 180108 220132 240144 255153 330198 340204 360216 440264 495297 510306 660396 680408 720432 765459 880528 935561 990594 1020612 1320792 1360816 1530918 1871122 1981188 2041224 2641584 2806683 3061836 3742244 3962376 4082448 5613366 6123672 7484488 7924752 8420049 11226732 12247344 14968976 16840098 22453464 33680196 44906928 67360392 134720784