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133502208 = 2837191307
BaseRepresentation
bin1111111010100…
…01010100000000
3100022012121121020
413331101110000
5233134032313
621125225440
73210515160
oct775212400
9308177536
10133502208
11693a4204
1238862280
13218738b8
1413a325a0
15bac1323
hex7f51500

133502208 has 144 divisors (see below), whose sum is σ = 427768320. Its totient is φ = 36108288.

The previous prime is 133502203. The next prime is 133502209. The reversal of 133502208 is 802205331.

133502208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133502203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101491 + ... + 102797.

Almost surely, 2133502208 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 133502208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213884160).

133502208 is an abundant number, since it is smaller than the sum of its proper divisors (294266112).

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

133502208 is a wasteful number, since it uses less digits than its factorization.

133502208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 133502208 is about 11554.3155574011. The cubic root of 133502208 is about 511.0885476842.

Adding to 133502208 its reverse (802205331), we get a palindrome (935707539).

The spelling of 133502208 in words is "one hundred thirty-three million, five hundred two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1307 1344 1596 1792 1824 2128 2432 2614 2688 3192 3648 3921 4256 4864 5228 5376 6384 7296 7842 8512 9149 10456 12768 14592 15684 17024 18298 20912 24833 25536 27447 31368 34048 36596 41824 49666 51072 54894 62736 73192 74499 83648 99332 102144 109788 125472 146384 148998 167296 173831 198664 219576 250944 292768 297996 334592 347662 397328 439152 501888 521493 585536 595992 695324 794656 878304 1003776 1042986 1171072 1191984 1390648 1589312 1756608 2085972 2342144 2383968 2781296 3178624 3513216 4171944 4767936 5562592 6357248 7026432 8343888 9535872 11125184 16687776 19071744 22250368 33375552 44500736 66751104 133502208