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135224160 = 2535281717
BaseRepresentation
bin10000000111101…
…01101101100000
3100102110002200020
420003311231200
5234104133120
621230153440
73231246351
oct1003655540
9312402606
10135224160
116a36aa05
1239352880
13220275c6
1413d5dd28
15bd11640
hex80f5b60

135224160 has 48 divisors (see below), whose sum is σ = 425957616. Its totient is φ = 36059648.

The previous prime is 135224143. The next prime is 135224161. The reversal of 135224160 is 61422531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135224160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135224161) 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, 140379 + ... + 141338.

It is an arithmetic number, because the mean of its divisors is an integer number (8874117).

Almost surely, 2135224160 is an apocalyptic number.

135224160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135224160 is an abundant number, since it is smaller than the sum of its proper divisors (290733456).

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

135224160 is a wasteful number, since it uses less digits than its factorization.

135224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281735 (or 281727 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135224160 is about 11628.5923481735. The cubic root of 135224160 is about 513.2765590028.

Adding to 135224160 its reverse (61422531), we get a palindrome (196646691).

The spelling of 135224160 in words is "one hundred thirty-five million, two hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 281717 563434 845151 1126868 1408585 1690302 2253736 2817170 3380604 4225755 4507472 5634340 6761208 8451510 9014944 11268680 13522416 16903020 22537360 27044832 33806040 45074720 67612080 135224160