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133135576 = 23731531447
BaseRepresentation
bin1111110111101…
…11110011011000
3100021111222200021
413323313303120
5233040314301
621113320224
73204430240
oct773676330
9307458607
10133135576
1169173802
1238706074
1321775a62
1413978b20
15ba4c8a1
hex7ef7cd8

133135576 has 64 divisors (see below), whose sum is σ = 300257280. Its totient is φ = 54138240.

The previous prime is 133135559. The next prime is 133135589. The reversal of 133135576 is 675531331.

133135576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91285 + ... + 92731.

It is an arithmetic number, because the mean of its divisors is an integer number (4691520).

Almost surely, 2133135576 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 133135576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150128640).

133135576 is an abundant number, since it is smaller than the sum of its proper divisors (167121704).

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

133135576 is a wasteful number, since it uses less digits than its factorization.

133135576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1540 counting only the distinct ones).

The product of its digits is 28350, while the sum is 34.

The square root of 133135576 is about 11538.4390625422. The cubic root of 133135576 is about 510.6202577729.

The spelling of 133135576 in words is "one hundred thirty-three million, one hundred thirty-five thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 31 53 56 62 106 124 212 217 248 371 424 434 742 868 1447 1484 1643 1736 2894 2968 3286 5788 6572 10129 11501 11576 13144 20258 23002 40516 44857 46004 76691 81032 89714 92008 153382 179428 306764 313999 358856 536837 613528 627998 1073674 1255996 2147348 2377421 2511992 4294696 4754842 9509684 16641947 19019368 33283894 66567788 133135576