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135131125 = 537271487
BaseRepresentation
bin10000000110111…
…10111111110101
3100102021101001111
420003132333311
5234043144000
621224155021
73230411203
oct1003367765
9312241044
10135131125
116a307018
1239308a71
1321cc415c
1413d38073
15bce3cba
hex80deff5

135131125 has 16 divisors (see below), whose sum is σ = 168989184. Its totient is φ = 107883600.

The previous prime is 135131119. The next prime is 135131137. The reversal of 135131125 is 521131531.

It is not a de Polignac number, because 135131125 - 25 = 135131093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135131096 and 135131105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90132 + ... + 91618.

It is an arithmetic number, because the mean of its divisors is an integer number (10561824).

Almost surely, 2135131125 is an apocalyptic number.

It is an amenable number.

135131125 is a deficient number, since it is larger than the sum of its proper divisors (33858059).

135131125 is an equidigital number, since it uses as much as digits as its factorization.

135131125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2219 counting only the distinct ones).

The product of its digits is 450, while the sum is 22.

The square root of 135131125 is about 11624.5913906683. The cubic root of 135131125 is about 513.1588195884.

Adding to 135131125 its reverse (521131531), we get a palindrome (656262656).

The spelling of 135131125 in words is "one hundred thirty-five million, one hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 727 1487 3635 7435 18175 37175 90875 185875 1081049 5405245 27026225 135131125