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133146672 = 2434795791
BaseRepresentation
bin1111110111110…
…10100000110000
3100021112112220020
413323322200300
5233041143142
621113443440
73204504501
oct773724060
9307475806
10133146672
116918107a
1238710580
132177ab19
141397cba8
15ba50cec
hex7efa830

133146672 has 40 divisors (see below), whose sum is σ = 344739840. Its totient is φ = 44281920.

The previous prime is 133146667. The next prime is 133146709. The reversal of 133146672 is 276641331.

133146672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20097 + ... + 25887.

It is an arithmetic number, because the mean of its divisors is an integer number (8618496).

Almost surely, 2133146672 is an apocalyptic number.

133146672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133146672 is an abundant number, since it is smaller than the sum of its proper divisors (211593168).

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

133146672 is a wasteful number, since it uses less digits than its factorization.

133146672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6275 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 133146672 is about 11538.9198801274. The cubic root of 133146672 is about 510.6344430247.

The spelling of 133146672 in words is "one hundred thirty-three million, one hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 479 958 1437 1916 2874 3832 5748 5791 7664 11496 11582 17373 22992 23164 34746 46328 69492 92656 138984 277968 2773889 5547778 8321667 11095556 16643334 22191112 33286668 44382224 66573336 133146672