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135320064 = 293118009
BaseRepresentation
bin10000001000011…
…01001000000000
3100102121222020020
420010031020000
5234120220224
621232213440
73232126065
oct1004151000
9312558206
10135320064
116a425a70
123939a280
132205c159
1413d86c6c
15bd2ec79
hex810d200

135320064 has 80 divisors (see below), whose sum is σ = 393323040. Its totient is φ = 41000960.

The previous prime is 135320057. The next prime is 135320089. The reversal of 135320064 is 460023531.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12892 + ... + 20900.

It is an arithmetic number, because the mean of its divisors is an integer number (4916538).

Almost surely, 2135320064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196661520).

135320064 is an abundant number, since it is smaller than the sum of its proper divisors (258002976).

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

135320064 is an equidigital number, since it uses as much as digits as its factorization.

135320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8041 (or 8025 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135320064 is about 11632.7152462355. The cubic root of 135320064 is about 513.3978727347.

Adding to 135320064 its reverse (460023531), we get a palindrome (595343595).

The spelling of 135320064 in words is "one hundred thirty-five million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8009 8448 16018 16896 24027 32036 48054 64072 88099 96108 128144 176198 192216 256288 264297 352396 384432 512576 528594 704792 768864 1025152 1057188 1409584 1537728 2050304 2114376 2819168 3075456 4100608 4228752 5638336 6150912 8457504 11276672 12301824 16915008 22553344 33830016 45106688 67660032 135320064