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135129840 = 2435563041
BaseRepresentation
bin10000000110111…
…10101011110000
3100102021022021220
420003132223300
5234043123330
621224145040
73230404356
oct1003365360
9312238256
10135129840
116a30605a
1239308180
1321cc36b1
1413d377d6
15bce3710
hex80deaf0

135129840 has 40 divisors (see below), whose sum is σ = 418903248. Its totient is φ = 36034560.

The previous prime is 135129833. The next prime is 135129859. The reversal of 135129840 is 48921531.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 281281 + ... + 281760.

Almost surely, 2135129840 is an apocalyptic number.

135129840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135129840 is an abundant number, since it is smaller than the sum of its proper divisors (283773408).

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

135129840 is a wasteful number, since it uses less digits than its factorization.

135129840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563057 (or 563051 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 135129840 is about 11624.5361197770. The cubic root of 135129840 is about 513.1571929926.

The spelling of 135129840 in words is "one hundred thirty-five million, one hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 563041 1126082 1689123 2252164 2815205 3378246 4504328 5630410 6756492 8445615 9008656 11260820 13512984 16891230 22521640 27025968 33782460 45043280 67564920 135129840