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133068132 = 22323799901
BaseRepresentation
bin1111110111001…
…11010101100100
3100021101120011100
413323213111210
5233031140012
621112040100
73204026511
oct773472544
9307346140
10133068132
116912806a
1238693030
1321751152
141395c308
15ba378dc
hex7ee7564

133068132 has 36 divisors (see below), whose sum is σ = 345461116. Its totient is φ = 43156800.

The previous prime is 133068109. The next prime is 133068137. The reversal of 133068132 is 231860331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 125081856 + 7986276 = 11184^2 + 2826^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 133068096 and 133068105.

It is not an unprimeable number, because it can be changed into a prime (133068137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48619 + ... + 51282.

Almost surely, 2133068132 is an apocalyptic number.

133068132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133068132 is an abundant number, since it is smaller than the sum of its proper divisors (212392984).

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

133068132 is a wasteful number, since it uses less digits than its factorization.

133068132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99948 (or 99943 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133068132 is about 11535.5161132912. The cubic root of 133068132 is about 510.5340196424.

The spelling of 133068132 in words is "one hundred thirty-three million, sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 99901 199802 299703 399604 599406 899109 1198812 1798218 3596436 3696337 7392674 11089011 14785348 22178022 33267033 44356044 66534066 133068132