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135130016 = 257733823
BaseRepresentation
bin10000000110111…
…10101110100000
3100102021022112102
420003132232200
5234043130031
621224145532
73230405030
oct1003365640
9312238472
10135130016
116a3061aa
12393082a8
1321cc37b8
1413d378c0
15bce37cb
hex80deba0

135130016 has 48 divisors (see below), whose sum is σ = 304827264. Its totient is φ = 57763584.

The previous prime is 135130013. The next prime is 135130027. The reversal of 135130016 is 610031531.

It is a happy number.

135130016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135130016.

It is not an unprimeable number, because it can be changed into a prime (135130013) 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, 163781 + ... + 164603.

It is an arithmetic number, because the mean of its divisors is an integer number (6350568).

Almost surely, 2135130016 is an apocalyptic number.

135130016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135130016 is an abundant number, since it is smaller than the sum of its proper divisors (169697248).

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

135130016 is an equidigital number, since it uses as much as digits as its factorization.

135130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 135130016 is about 11624.5436899691. The cubic root of 135130016 is about 513.1574157798.

Adding to 135130016 its reverse (610031531), we get a palindrome (745161547).

The spelling of 135130016 in words is "one hundred thirty-five million, one hundred thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 733 823 1466 1646 2932 3292 5131 5761 5864 6584 10262 11522 11728 13168 20524 23044 23456 26336 41048 46088 82096 92176 164192 184352 603259 1206518 2413036 4222813 4826072 8445626 9652144 16891252 19304288 33782504 67565008 135130016