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135295576 = 23131498731
BaseRepresentation
bin10000001000001…
…11001001011000
3100102120201122021
420010013021120
5234113424301
621231504224
73231664513
oct1004071130
9312521567
10135295576
116a409629
1239388074
1322050c70
1413d7bd7a
15bd278a1
hex8107258

135295576 has 32 divisors (see below), whose sum is σ = 275058000. Its totient is φ = 62017920.

The previous prime is 135295549. The next prime is 135295577. The reversal of 135295576 is 675592531.

135295576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135295577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11131 + ... + 19861.

Almost surely, 2135295576 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 135295576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137529000).

135295576 is an abundant number, since it is smaller than the sum of its proper divisors (139762424).

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

135295576 is a wasteful number, since it uses less digits than its factorization.

135295576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899 (or 8895 counting only the distinct ones).

The product of its digits is 283500, while the sum is 43.

The square root of 135295576 is about 11631.6626498536. The cubic root of 135295576 is about 513.3669020982.

The spelling of 135295576 in words is "one hundred thirty-five million, two hundred ninety-five thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 104 149 298 596 1192 1937 3874 7748 8731 15496 17462 34924 69848 113503 227006 454012 908024 1300919 2601838 5203676 10407352 16911947 33823894 67647788 135295576