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132096133 = 1328136161
BaseRepresentation
bin1111101111110…
…10000010000101
3100012120011211101
413313322002011
5232304034013
621035140101
73162540631
oct767720205
9305504741
10132096133
1168623864
12382a4631
13214a08c0
1413787dc1
15b8e48dd
hex7dfa085

132096133 has 8 divisors (see below), whose sum is σ = 142767576. Its totient is φ = 121497600.

The previous prime is 132096121. The next prime is 132096143. The reversal of 132096133 is 331690231.

It can be written as a sum of positive squares in 4 ways, for example, as 24621444 + 107474689 = 4962^2 + 10367^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132096133 - 225 = 98541701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132096143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14428 + ... + 21733.

It is an arithmetic number, because the mean of its divisors is an integer number (17845947).

Almost surely, 2132096133 is an apocalyptic number.

132096133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132096133 is a deficient number, since it is larger than the sum of its proper divisors (10671443).

132096133 is a wasteful number, since it uses less digits than its factorization.

132096133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36455.

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 132096133 is about 11493.3081834605. The cubic root of 132096133 is about 509.2879117576.

The spelling of 132096133 in words is "one hundred thirty-two million, ninety-six thousand, one hundred thirty-three".

Divisors: 1 13 281 3653 36161 470093 10161241 132096133