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135545360 = 2457012417
BaseRepresentation
bin10000001010001…
…00001000010000
3100110001102021112
420011010020100
5234144422420
621241112452
73234054656
oct1005041020
9313042245
10135545360
116a56a265
1239488728
132210a872
1414004dd6
15bd768c5
hex8144210

135545360 has 40 divisors (see below), whose sum is σ = 315723096. Its totient is φ = 54118400.

The previous prime is 135545359. The next prime is 135545363. The reversal of 135545360 is 63545531.

It can be written as a sum of positive squares in 4 ways, for example, as 74580496 + 60964864 = 8636^2 + 7808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (135545363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54872 + ... + 57288.

Almost surely, 2135545360 is an apocalyptic number.

135545360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135545360 is an abundant number, since it is smaller than the sum of its proper divisors (180177736).

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

135545360 is a wasteful number, since it uses less digits than its factorization.

135545360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 135545360 is about 11642.3949426224. The cubic root of 135545360 is about 513.6826355198.

The spelling of 135545360 in words is "one hundred thirty-five million, five hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 701 1402 2417 2804 3505 4834 5608 7010 9668 11216 12085 14020 19336 24170 28040 38672 48340 56080 96680 193360 1694317 3388634 6777268 8471585 13554536 16943170 27109072 33886340 67772680 135545360