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135045440 = 265503839
BaseRepresentation
bin10000000110010…
…10000101000000
3100102010000111222
420003022011000
5234032423230
621222254212
73226603325
oct1003120500
9312100458
10135045440
116a258702
1239287368
1321c9415a
1413d14b4c
15bcc86e5
hex80ca140

135045440 has 56 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 53846528.

The previous prime is 135045409. The next prime is 135045457. The reversal of 135045440 is 44540531.

It is a congruent number.

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, 160541 + ... + 161379.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2135045440 is an apocalyptic number.

135045440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

135045440 is an abundant number, since it is smaller than the sum of its proper divisors (187554880).

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

135045440 is an equidigital number, since it uses as much as digits as its factorization.

135045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 135045440 is about 11620.9053003628. The cubic root of 135045440 is about 513.0503340702.

Adding to 135045440 its reverse (44540531), we get a palindrome (179585971).

The spelling of 135045440 in words is "one hundred thirty-five million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 503 839 1006 1678 2012 2515 3356 4024 4195 5030 6712 8048 8390 10060 13424 16096 16780 20120 26848 32192 33560 40240 53696 67120 80480 134240 160960 268480 422017 844034 1688068 2110085 3376136 4220170 6752272 8440340 13504544 16880680 27009088 33761360 67522720 135045440