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135142220 = 22513151581
BaseRepresentation
bin10000000111000…
…01101101001100
3100102021221021102
420003201231030
5234044022340
621224322232
73230455433
oct1003415514
9312257242
10135142220
116a314394
1239313378
1321cc9215
1413d3c11a
15bce7215
hex80e1b4c

135142220 has 24 divisors (see below), whose sum is σ = 285970608. Its totient is φ = 53643200.

The previous prime is 135142207. The next prime is 135142229. The reversal of 135142220 is 22241531.

135142220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 135142192 and 135142201.

It is not an unprimeable number, because it can be changed into a prime (135142229) 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, 23171 + ... + 28410.

It is an arithmetic number, because the mean of its divisors is an integer number (11915442).

Almost surely, 2135142220 is an apocalyptic number.

135142220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135142220 is an abundant number, since it is smaller than the sum of its proper divisors (150828388).

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

135142220 is a wasteful number, since it uses less digits than its factorization.

135142220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51721 (or 51719 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 135142220 is about 11625.0686019481. The cubic root of 135142220 is about 513.1728635803.

Adding to 135142220 its reverse (22241531), we get a palindrome (157383751).

The spelling of 135142220 in words is "one hundred thirty-five million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1310 2620 51581 103162 206324 257905 515810 1031620 6757111 13514222 27028444 33785555 67571110 135142220