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135132047 = 1921392693
BaseRepresentation
bin10000000110111…
…11001110001111
3100102021102022122
420003133032033
5234043211142
621224203155
73230413661
oct1003371617
9312242278
10135132047
116a307786
12393094bb
1321cc46bb
1413d38531
15bce41d2
hex80df38f

135132047 has 12 divisors (see below), whose sum is σ = 143697960. Its totient is φ = 127051632.

The previous prime is 135132017. The next prime is 135132059. The reversal of 135132047 is 740231531.

It is not a de Polignac number, because 135132047 - 214 = 135115663 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 (135132017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48833 + ... + 51525.

It is an arithmetic number, because the mean of its divisors is an integer number (11974830).

Almost surely, 2135132047 is an apocalyptic number.

135132047 is a deficient number, since it is larger than the sum of its proper divisors (8565913).

135132047 is a wasteful number, since it uses less digits than its factorization.

135132047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 135132047 is about 11624.6310479086. The cubic root of 135132047 is about 513.1599866804.

Adding to 135132047 its reverse (740231531), we get a palindrome (875363578).

The spelling of 135132047 in words is "one hundred thirty-five million, one hundred thirty-two thousand, forty-seven".

Divisors: 1 19 139 361 2641 2693 50179 51167 374327 972173 7112213 135132047