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135075 = 3521801
BaseRepresentation
bin100000111110100011
320212021210
4200332203
513310300
62521203
71101543
oct407643
9225253
10135075
1192536
1266203
1349635
1437323
152a050
hex20fa3

135075 has 12 divisors (see below), whose sum is σ = 223448. Its totient is φ = 72000.

The previous prime is 135059. The next prime is 135077. The reversal of 135075 is 570531.

It is a happy number.

135075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135075 - 24 = 135059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135077) 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, 826 + ... + 975.

2135075 is an apocalyptic number.

135075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135075 is a deficient number, since it is larger than the sum of its proper divisors (88373).

135075 is a wasteful number, since it uses less digits than its factorization.

135075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 135075 is about 367.5255093187. The cubic root of 135075 is about 51.3087765080.

The spelling of 135075 in words is "one hundred thirty-five thousand, seventy-five".

Divisors: 1 3 5 15 25 75 1801 5403 9005 27015 45025 135075