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135444525 = 35217412591
BaseRepresentation
bin10000001001010…
…11100000101101
3100102212021221220
420010223200231
5234133211100
621235013553
73233154666
oct1004534055
9312767856
10135444525
116a500527
123943a2b9
13220a39b8
1413dba36d
15bd56aa0
hex812b82d

135444525 has 48 divisors (see below), whose sum is σ = 242984448. Its totient is φ = 66304000.

The previous prime is 135444523. The next prime is 135444557. The reversal of 135444525 is 525444531.

It is not a de Polignac number, because 135444525 - 21 = 135444523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135444523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50980 + ... + 53570.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2135444525 is an apocalyptic number.

135444525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135444525 is a deficient number, since it is larger than the sum of its proper divisors (107539923).

135444525 is a wasteful number, since it uses less digits than its factorization.

135444525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2657 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 135444525 is about 11638.0636275972. The cubic root of 135444525 is about 513.5552242036. Note that the first 3 decimals are identical.

The spelling of 135444525 in words is "one hundred thirty-five million, four hundred forty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 15 17 25 41 51 75 85 123 205 255 425 615 697 1025 1275 2091 2591 3075 3485 7773 10455 12955 17425 38865 44047 52275 64775 106231 132141 194325 220235 318693 531155 660705 1101175 1593465 1805927 2655775 3303525 5417781 7967325 9029635 27088905 45148175 135444525