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135146322 = 23229892909
BaseRepresentation
bin10000000111000…
…10101101010010
3100102022010220100
420003202231102
5234044140242
621224353230
73230503413
oct1003425522
9312263810
10135146322
116a317483
1239315816
1321ccb04c
1413d3d80a
15bce854c
hex80e2b52

135146322 has 48 divisors (see below), whose sum is σ = 306423000. Its totient is φ = 42991872.

The previous prime is 135146309. The next prime is 135146339. The reversal of 135146322 is 223641531.

135146322 is a `hidden beast` number, since 13 + 5 + 14 + 632 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120099681 + 15046641 = 10959^2 + 3879^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45004 + ... + 47912.

Almost surely, 2135146322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135146322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153211500).

135146322 is an abundant number, since it is smaller than the sum of its proper divisors (171276678).

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

135146322 is a wasteful number, since it uses less digits than its factorization.

135146322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3032 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 135146322 is about 11625.2450296757. The cubic root of 135146322 is about 513.1780556755.

Adding to 135146322 its reverse (223641531), we get a palindrome (358787853).

The spelling of 135146322 in words is "one hundred thirty-five million, one hundred forty-six thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 89 174 178 261 267 522 534 801 1602 2581 2909 5162 5818 7743 8727 15486 17454 23229 26181 46458 52362 84361 168722 253083 258901 506166 517802 759249 776703 1518498 1553406 2330109 4660218 7508129 15016258 22524387 45048774 67573161 135146322