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135205464 = 23347671789
BaseRepresentation
bin10000000111100…
…01001001011000
3100102102011000210
420003301021120
5234103033324
621225531120
73231141012
oct1003611130
9312364023
10135205464
116a357959
1239343aa0
132201bc44
1413d571b2
15bd0ad29
hex80f1258

135205464 has 64 divisors (see below), whose sum is σ = 350553600. Its totient is φ = 43426944.

The previous prime is 135205457. The next prime is 135205481. The reversal of 135205464 is 464502531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74682 + ... + 76470.

It is an arithmetic number, because the mean of its divisors is an integer number (5477400).

Almost surely, 2135205464 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 135205464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175276800).

135205464 is an abundant number, since it is smaller than the sum of its proper divisors (215348136).

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

135205464 is a wasteful number, since it uses less digits than its factorization.

135205464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 135205464 is about 11627.7884397679. The cubic root of 135205464 is about 513.2529028237.

Adding to 135205464 its reverse (464502531), we get a palindrome (599707995).

The spelling of 135205464 in words is "one hundred thirty-five million, two hundred five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 67 94 134 141 188 201 268 282 376 402 536 564 804 1128 1608 1789 3149 3578 5367 6298 7156 9447 10734 12596 14312 18894 21468 25192 37788 42936 75576 84083 119863 168166 239726 252249 336332 359589 479452 504498 672664 719178 958904 1008996 1438356 2017992 2876712 5633561 11267122 16900683 22534244 33801366 45068488 67602732 135205464