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133768816 = 24191313359
BaseRepresentation
bin1111111100100…
…10011001110000
3100022201011022121
413332102121300
5233221100231
621135044024
73213005356
oct776223160
9308634277
10133768816
1169566545
1238970614
132193805c
1413aa17d6
15bb25311
hex7f92670

133768816 has 40 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 62861760.

The previous prime is 133768799. The next prime is 133768819. The reversal of 133768816 is 618867331.

133768816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1337688162 = 35788192268083712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

Together with 141213584 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133768819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38145 + ... + 41503.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2133768816 is an apocalyptic number.

133768816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

133768816 is an abundant number, since it is smaller than the sum of its proper divisors (141213584).

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

133768816 is a wasteful number, since it uses less digits than its factorization.

133768816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3511 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 133768816 is about 11565.8469642305. The cubic root of 133768816 is about 511.4285412886.

The spelling of 133768816 in words is "one hundred thirty-three million, seven hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 524 1048 2096 2489 3359 4978 6718 9956 13436 19912 26872 39824 53744 63821 127642 255284 440029 510568 880058 1021136 1760116 3520232 7040464 8360551 16721102 33442204 66884408 133768816