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135082656 = 2532469037
BaseRepresentation
bin10000000110100…
…11001010100000
3100102011220120100
420003103022200
5234040121111
621223142400
73230116662
oct1003231240
9312156510
10135082656
116a283665
12392a4a00
1321ca8087
1413d24532
15bcd4756
hex80d32a0

135082656 has 36 divisors (see below), whose sum is σ = 384142122. Its totient is φ = 45027456.

The previous prime is 135082613. The next prime is 135082691. The reversal of 135082656 is 656280531.

It can be written as a sum of positive squares in only one way, i.e., 114832656 + 20250000 = 10716^2 + 4500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135082656.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 234231 + ... + 234806.

Almost surely, 2135082656 is an apocalyptic number.

135082656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135082656 is an abundant number, since it is smaller than the sum of its proper divisors (249059466).

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

135082656 is a wasteful number, since it uses less digits than its factorization.

135082656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469053 (or 469042 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 135082656 is about 11622.5064422439. The cubic root of 135082656 is about 513.0974587703.

The spelling of 135082656 in words is "one hundred thirty-five million, eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 469037 938074 1407111 1876148 2814222 3752296 4221333 5628444 7504592 8442666 11256888 15009184 16885332 22513776 33770664 45027552 67541328 135082656