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135531140 = 22517398621
BaseRepresentation
bin10000001010000…
…00101010000100
3100110000200202212
420011000222010
5234143444030
621240522552
73233665343
oct1005005204
9313020685
10135531140
116a55a608
1239480458
1322104254
1413dddb5a
15bd72595
hex8140a84

135531140 has 24 divisors (see below), whose sum is σ = 301358232. Its totient is φ = 51023360.

The previous prime is 135531133. The next prime is 135531167. The reversal of 135531140 is 41135531.

It can be written as a sum of positive squares in 4 ways, for example, as 28987456 + 106543684 = 5384^2 + 10322^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198971 + ... + 199650.

It is an arithmetic number, because the mean of its divisors is an integer number (12556593).

Almost surely, 2135531140 is an apocalyptic number.

135531140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135531140 is an abundant number, since it is smaller than the sum of its proper divisors (165827092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135531140 is a wasteful number, since it uses less digits than its factorization.

135531140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398647 (or 398645 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 135531140 is about 11641.7842275143. The cubic root of 135531140 is about 513.6646714903.

Adding to 135531140 its reverse (41135531), we get a palindrome (176666671).

The spelling of 135531140 in words is "one hundred thirty-five million, five hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 398621 797242 1594484 1993105 3986210 6776557 7972420 13553114 27106228 33882785 67765570 135531140