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134719728 = 2431113191033
BaseRepresentation
bin10000000011110…
…10100011110000
3100101111110201120
420001322203300
5233442012403
621211302240
73224045613
oct1001724360
9311443646
10134719728
116a055a20
123914a980
1321babb20
1413c6c17a
15bc61e53
hex807a8f0

134719728 has 160 divisors (see below), whose sum is σ = 430805760. Its totient is φ = 35665920.

The previous prime is 134719721. The next prime is 134719729. The reversal of 134719728 is 827917431.

It is a super-2 number, since 2×1347197282 = 36298810224787968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134719728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134719721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129900 + ... + 130932.

It is an arithmetic number, because the mean of its divisors is an integer number (2692536).

Almost surely, 2134719728 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 134719728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215402880).

134719728 is an abundant number, since it is smaller than the sum of its proper divisors (296086032).

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

134719728 is a wasteful number, since it uses less digits than its factorization.

134719728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 134719728 is about 11606.8827856578. The cubic root of 134719728 is about 512.6375318381.

The spelling of 134719728 in words is "one hundred thirty-four million, seven hundred nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1033 1144 1254 1482 1672 1716 1976 2066 2288 2508 2717 2964 3099 3344 3432 3952 4132 5016 5434 5928 6198 6864 8151 8264 10032 10868 11363 11856 12396 13429 16302 16528 19627 21736 22726 24792 26858 32604 34089 39254 40287 43472 45452 49584 53716 58881 65208 68178 78508 80574 90904 107432 117762 130416 136356 147719 157016 161148 181808 214864 215897 235524 255151 272712 295438 314032 322296 431794 443157 471048 510302 545424 590876 644592 647691 765453 863588 886314 942096 1020604 1181752 1295382 1530906 1727176 1772628 2041208 2363504 2590764 2806661 3061812 3454352 3545256 4082416 5181528 5613322 6123624 7090512 8419983 10363056 11226644 12247248 16839966 22453288 33679932 44906576 67359864 134719728