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135038046 = 231113315077
BaseRepresentation
bin10000000110010…
…00010001011110
3100102002122101010
420003020101132
5234032204141
621222200050
73226542633
oct1003102136
9312078333
10135038046
116a2530a0
1239283026
1321c90990
1413d1218a
15bcc6416
hex80c845e

135038046 has 64 divisors (see below), whose sum is σ = 327591936. Its totient is φ = 36547200.

The previous prime is 135038041. The next prime is 135038063. The reversal of 135038046 is 640830531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135038041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24060 + ... + 29136.

It is an arithmetic number, because the mean of its divisors is an integer number (5118624).

Almost surely, 2135038046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135038046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163795968).

135038046 is an abundant number, since it is smaller than the sum of its proper divisors (192553890).

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

135038046 is a wasteful number, since it uses less digits than its factorization.

135038046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 135038046 is about 11620.5871624458. The cubic root of 135038046 is about 513.0409703988.

Adding to 135038046 its reverse (640830531), we get a palindrome (775868577).

The spelling of 135038046 in words is "one hundred thirty-five million, thirty-eight thousand, forty-six".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 341 403 429 682 806 858 1023 1209 2046 2418 4433 5077 8866 10154 13299 15231 26598 30462 55847 66001 111694 132002 157387 167541 198003 314774 335082 396006 472161 726011 944322 1452022 1731257 2046031 2178033 3462514 4092062 4356066 5193771 6138093 10387542 12276186 22506341 45012682 67519023 135038046