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132135126 = 2340795399
BaseRepresentation
bin1111110000000…
…11100011010110
3100012122011022120
413320003203112
5232311311001
621040040410
73163062414
oct770034326
9305564276
10132135126
1168650092
1238303106
13214b5586
14137982b4
15b901236
hex7e038d6

132135126 has 16 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 44026088.

The previous prime is 132135121. The next prime is 132135149. The reversal of 132135126 is 621531231.

132135126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1321351263 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132135096 and 132135105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132135121) 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, 21775 + ... + 27173.

It is an arithmetic number, because the mean of its divisors is an integer number (16524000).

Almost surely, 2132135126 is an apocalyptic number.

132135126 is an abundant number, since it is smaller than the sum of its proper divisors (132248874).

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

132135126 is a wasteful number, since it uses less digits than its factorization.

132135126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9483.

The product of its digits is 1080, while the sum is 24.

The square root of 132135126 is about 11495.0043932136. The cubic root of 132135126 is about 509.3380184726.

Adding to 132135126 its reverse (621531231), we get a palindrome (753666357).

The spelling of 132135126 in words is "one hundred thirty-two million, one hundred thirty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 4079 5399 8158 10798 12237 16197 24474 32394 22022521 44045042 66067563 132135126