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133654664 = 231121321943
BaseRepresentation
bin1111111011101…
…10100010001000
3100022111100201202
413331312202020
5233203422124
621132403332
73212021513
oct775664210
9308440652
10133654664
1169498800
1238916548
13218c8100
1413a71d7a
15bb015ae
hex7f76888

133654664 has 144 divisors (see below), whose sum is σ = 321274800. Its totient is φ = 51891840.

The previous prime is 133654637. The next prime is 133654667. The reversal of 133654664 is 466456331.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (133654667) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3108227 + ... + 3108269.

It is an arithmetic number, because the mean of its divisors is an integer number (2231075).

Almost surely, 2133654664 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 133654664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160637400).

133654664 is an abundant number, since it is smaller than the sum of its proper divisors (187620136).

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

133654664 is a wasteful number, since it uses less digits than its factorization.

133654664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its digits is 155520, while the sum is 38.

The square root of 133654664 is about 11560.9110367652. The cubic root of 133654664 is about 511.2830235542.

The spelling of 133654664 in words is "one hundred thirty-three million, six hundred fifty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 19 22 26 38 43 44 52 76 86 88 104 121 143 152 169 172 209 242 247 286 338 344 418 473 484 494 559 572 676 817 836 946 968 988 1118 1144 1352 1573 1634 1672 1859 1892 1976 2236 2299 2717 3146 3211 3268 3718 3784 4472 4598 5203 5434 6149 6292 6422 6536 7267 7436 8987 9196 10406 10621 10868 12298 12584 12844 14534 14872 17974 18392 20449 20812 21242 21736 24596 25688 29068 29887 35321 35948 40898 41624 42484 49192 58136 59774 67639 70642 71896 79937 81796 84968 98857 116831 119548 135278 138073 141284 159874 163592 197714 233662 239096 270556 276146 282568 319748 388531 395428 467324 541112 552292 639496 777062 790856 879307 934648 1104584 1285141 1518803 1554124 1758614 2570282 3037606 3108248 3517228 5140564 6075212 7034456 10281128 12150424 16706833 33413666 66827332 133654664