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135245440 = 2751119211
BaseRepresentation
bin10000000111110…
…10111010000000
3100102111011212101
420003322322000
5234110323230
621230440144
73231365401
oct1003727200
9312434771
10135245440
116a3849a0
1239363054
13220341b5
1413d679a8
15bd17aca
hex80fae80

135245440 has 64 divisors (see below), whose sum is σ = 352732320. Its totient is φ = 49177600.

The previous prime is 135245431. The next prime is 135245447. The reversal of 135245440 is 44542531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 135245399 and 135245408.

It is not an unprimeable number, because it can be changed into a prime (135245447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2566 + ... + 16645.

Almost surely, 2135245440 is an apocalyptic number.

135245440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135245440 is an abundant number, since it is smaller than the sum of its proper divisors (217486880).

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

135245440 is a wasteful number, since it uses less digits than its factorization.

135245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19241 (or 19229 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 135245440 is about 11629.5072982478. The cubic root of 135245440 is about 513.3034820819.

Adding to 135245440 its reverse (44542531), we get a palindrome (179787971).

The spelling of 135245440 in words is "one hundred thirty-five million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 19211 38422 76844 96055 153688 192110 211321 307376 384220 422642 614752 768440 845284 1056605 1229504 1536880 1690568 2113210 2459008 3073760 3381136 4226420 6147520 6762272 8452840 12295040 13524544 16905680 27049088 33811360 67622720 135245440