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133202144 = 255378539
BaseRepresentation
bin1111111000010…
…00000011100000
3100021122100222202
413330020003200
5233044432034
621114552332
73205125305
oct774100340
9307570882
10133202144
1169209819
12387386a8
132179a14a
14139950ac
15ba6247e
hex7f080e0

133202144 has 24 divisors (see below), whose sum is σ = 267193080. Its totient is φ = 65343616.

The previous prime is 133202129. The next prime is 133202159. The reversal of 133202144 is 441202331.

It is an interprime number because it is at equal distance from previous prime (133202129) and next prime (133202159).

It is a super-2 number, since 2×1332021442 = 35485622332393472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 37574 + ... + 40965.

It is an arithmetic number, because the mean of its divisors is an integer number (11133045).

Almost surely, 2133202144 is an apocalyptic number.

It is an amenable number.

133202144 is an abundant number, since it is smaller than the sum of its proper divisors (133990936).

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

133202144 is an equidigital number, since it uses as much as digits as its factorization.

133202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78602 (or 78594 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 133202144 is about 11541.3233210061. The cubic root of 133202144 is about 510.7053472402.

Adding to 133202144 its reverse (441202331), we get a palindrome (574404475).

The spelling of 133202144 in words is "one hundred thirty-three million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 78539 157078 314156 628312 1256624 2513248 4162567 8325134 16650268 33300536 66601072 133202144