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133000168 = 23723313331
BaseRepresentation
bin1111110110101…
…10101111101000
3100021021002221011
413323112233220
5233022001133
621110353304
73203324410
oct773265750
9307232834
10133000168
1169090aa4
123865b834
1321729232
1413941640
15ba226cd
hex7ed6be8

133000168 has 64 divisors (see below), whose sum is σ = 307077120. Its totient is φ = 52747200.

The previous prime is 133000157. The next prime is 133000169. The reversal of 133000168 is 861000331.

It is not an unprimeable number, because it can be changed into a prime (133000169) 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, 38263 + ... + 41593.

It is an arithmetic number, because the mean of its divisors is an integer number (4798080).

Almost surely, 2133000168 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 133000168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

133000168 is an abundant number, since it is smaller than the sum of its proper divisors (174076952).

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

133000168 is a wasteful number, since it uses less digits than its factorization.

133000168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 133000168 is about 11532.5698783922. The cubic root of 133000168 is about 510.4470871251.

Adding to 133000168 its reverse (861000331), we get a palindrome (994000499).

The spelling of 133000168 in words is "one hundred thirty-three million, one hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 23 28 31 46 56 62 92 124 161 184 217 248 322 434 644 713 868 1288 1426 1736 2852 3331 4991 5704 6662 9982 13324 19964 23317 26648 39928 46634 76613 93268 103261 153226 186536 206522 306452 413044 536291 612904 722827 826088 1072582 1445654 2145164 2375003 2891308 4290328 4750006 5782616 9500012 16625021 19000024 33250042 66500084 133000168