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133750968 = 2331317151167
BaseRepresentation
bin1111111100011…
…10000010111000
3100022200020211120
413332032002320
5233220012333
621134425240
73212602341
oct776160270
9308606746
10133750968
116955409a
1238962220
132192cbb0
1413a990c8
15bb1edb3
hex7f8e0b8

133750968 has 128 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 38246400.

The previous prime is 133750933. The next prime is 133750973. The reversal of 133750968 is 869057331.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800821 + ... + 800987.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2133750968 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 133750968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

133750968 is an abundant number, since it is smaller than the sum of its proper divisors (252353352).

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

133750968 is a wasteful number, since it uses less digits than its factorization.

133750968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 133750968 is about 11565.0753564341. The cubic root of 133750968 is about 511.4057946254.

The spelling of 133750968 in words is "one hundred thirty-three million, seven hundred fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 151 156 167 204 221 302 312 334 408 442 453 501 604 663 668 884 906 1002 1208 1326 1336 1768 1812 1963 2004 2171 2567 2652 2839 3624 3926 4008 4342 5134 5304 5678 5889 6513 7701 7852 8517 8684 10268 11356 11778 13026 15402 15704 17034 17368 20536 22712 23556 25217 26052 30804 33371 34068 36907 47112 50434 52104 61608 66742 68136 73814 75651 100113 100868 110721 133484 147628 151302 200226 201736 221442 266968 295256 302604 327821 400452 428689 442884 605208 655642 800904 857378 885768 983463 1286067 1311284 1714756 1966926 2572134 2622568 3429512 3933852 5144268 5572957 7867704 10288536 11145914 16718871 22291828 33437742 44583656 66875484 133750968