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133146738 = 23213753993
BaseRepresentation
bin1111110111110…
…10100001110010
3100021112112222200
413323322201302
5233041143423
621113444030
73204504624
oct773724162
9307475880
10133146738
116918112a
1238710616
132177ab6a
141397cc14
15ba50d43
hex7efa872

133146738 has 24 divisors (see below), whose sum is σ = 290595708. Its totient is φ = 44057472.

The previous prime is 133146719. The next prime is 133146773. The reversal of 133146738 is 837641331.

It can be written as a sum of positive squares in 2 ways, for example, as 114768369 + 18378369 = 10713^2 + 4287^2 .

It is an unprimeable number.

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, 24531 + ... + 29462.

Almost surely, 2133146738 is an apocalyptic number.

133146738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

133146738 is an abundant number, since it is smaller than the sum of its proper divisors (157448970).

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

133146738 is a wasteful number, since it uses less digits than its factorization.

133146738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54138 (or 54135 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 133146738 is about 11538.9227400135. The cubic root of 133146738 is about 510.6345273975.

The spelling of 133146738 in words is "one hundred thirty-three million, one hundred forty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 53993 107986 161979 323958 485937 971874 7397041 14794082 22191123 44382246 66573369 133146738