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135040008 = 23329251773
BaseRepresentation
bin10000000110010…
…00110000001000
3100102002202001210
420003020300020
5234032240013
621222213120
73226551435
oct1003106010
9312082053
10135040008
116a254614
12392841a0
1321c9183c
1413d12b8c
15bcc6cc3
hex80c8c08

135040008 has 64 divisors (see below), whose sum is σ = 351086400. Its totient is φ = 43232000.

The previous prime is 135040001. The next prime is 135040013. The reversal of 135040008 is 800040531.

135040008 is nontrivially palindromic in base 16.

It is not an unprimeable number, because it can be changed into a prime (135040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174310 + ... + 175082.

It is an arithmetic number, because the mean of its divisors is an integer number (5485725).

Almost surely, 2135040008 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 135040008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175543200).

135040008 is an abundant number, since it is smaller than the sum of its proper divisors (216046392).

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

135040008 is a wasteful number, since it uses less digits than its factorization.

135040008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 135040008 is about 11620.6715812814. The cubic root of 135040008 is about 513.0434550850.

Adding to 135040008 its reverse (800040531), we get a palindrome (935080539).

The spelling of 135040008 in words is "one hundred thirty-five million, forty thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 251 348 502 696 753 773 1004 1506 1546 2008 2319 3012 3092 4638 6024 6184 7279 9276 14558 18552 21837 22417 29116 43674 44834 58232 67251 87348 89668 134502 174696 179336 194023 269004 388046 538008 582069 776092 1164138 1552184 2328276 4656552 5626667 11253334 16880001 22506668 33760002 45013336 67520004 135040008