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135525645 = 3253197151
BaseRepresentation
bin10000001001111…
…11010100001101
3100110000102020100
420010333110031
5234143310040
621240441313
73233643333
oct1004772415
9313012210
10135525645
116a556472
1239479239
13221018b8
1413ddbb53
15bd70b30
hex813f50d

135525645 has 24 divisors (see below), whose sum is σ = 242491392. Its totient is φ = 69948000.

The previous prime is 135525631. The next prime is 135525647. The reversal of 135525645 is 546525531.

135525645 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 5 + 645 = 666.

It is not a de Polignac number, because 135525645 - 212 = 135521549 is a prime.

It is a super-3 number, since 3×1355256453 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135525647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47181 + ... + 49970.

It is an arithmetic number, because the mean of its divisors is an integer number (10103808).

Almost surely, 2135525645 is an apocalyptic number.

135525645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135525645 is a deficient number, since it is larger than the sum of its proper divisors (106965747).

135525645 is a wasteful number, since it uses less digits than its factorization.

135525645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97193 (or 97190 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 135525645 is about 11641.5482217788. The cubic root of 135525645 is about 513.6577293575.

It can be divided in two parts, 1355 and 25645, that added together give a cube (27000 = 303).

The spelling of 135525645 in words is "one hundred thirty-five million, five hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 97151 291453 485755 874359 1457265 3011681 4371795 9035043 15058405 27105129 45175215 135525645