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135132405 = 35173311601
BaseRepresentation
bin10000000110111…
…11010011110101
3100102021102210220
420003133103311
5234043214110
621224204553
73230415012
oct1003372365
9312242726
10135132405
116a307a81
1239309759
1321cc4905
1413d38709
15bce4370
hex80df4f5

135132405 has 32 divisors (see below), whose sum is σ = 229765248. Its totient is φ = 67584000.

The previous prime is 135132397. The next prime is 135132409. The reversal of 135132405 is 504231531.

It is not a de Polignac number, because 135132405 - 23 = 135132397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135132409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83605 + ... + 85205.

It is an arithmetic number, because the mean of its divisors is an integer number (7180164).

Almost surely, 2135132405 is an apocalyptic number.

135132405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135132405 is a deficient number, since it is larger than the sum of its proper divisors (94632843).

135132405 is a wasteful number, since it uses less digits than its factorization.

135132405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135132405 is about 11624.6464462365. The cubic root of 135132405 is about 513.1604398448.

Adding to 135132405 its reverse (504231531), we get a palindrome (639363936).

The spelling of 135132405 in words is "one hundred thirty-five million, one hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 15 17 51 85 255 331 993 1601 1655 4803 4965 5627 8005 16881 24015 27217 28135 81651 84405 136085 408255 529931 1589793 2649655 7948965 9008827 27026481 45044135 135132405