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133706752 = 210373529
BaseRepresentation
bin1111111100000…
…11010000000000
3100022121000011221
413332003100000
5233212104002
621133444424
73212326414
oct776032000
9308530157
10133706752
1169523953
1238940714
1321915a2a
1413a86d44
15bb11c37
hex7f83400

133706752 has 44 divisors (see below), whose sum is σ = 274584580. Its totient is φ = 65028096.

The previous prime is 133706723. The next prime is 133706753. The reversal of 133706752 is 257607331.

It can be written as a sum of positive squares in 2 ways, for example, as 65545216 + 68161536 = 8096^2 + 8256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133706753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36124 + ... + 39652.

Almost surely, 2133706752 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 133706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137292290).

133706752 is an abundant number, since it is smaller than the sum of its proper divisors (140877828).

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

133706752 is an equidigital number, since it uses as much as digits as its factorization.

133706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 34.

The square root of 133706752 is about 11563.1635809583. The cubic root of 133706752 is about 511.3494341341.

The spelling of 133706752 in words is "one hundred thirty-three million, seven hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2368 3529 4736 7058 9472 14116 18944 28232 37888 56464 112928 130573 225856 261146 451712 522292 903424 1044584 1806848 2089168 3613696 4178336 8356672 16713344 33426688 66853376 133706752