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135134610 = 235131572207
BaseRepresentation
bin10000000110111…
…11110110010010
3100102021112211120
420003133312102
5234043301420
621224223110
73230424312
oct1003376622
9312245746
10135134610
116a3096a6
123930aa96
1321cc5910
1413d39442
15bce4d40
hex80dfd92

135134610 has 64 divisors (see below), whose sum is σ = 351654912. Its totient is φ = 33037056.

The previous prime is 135134609. The next prime is 135134617. The reversal of 135134610 is 16431531.

135134610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1351346102 = 36522725639704200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135134617) 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, 60127 + ... + 62333.

It is an arithmetic number, because the mean of its divisors is an integer number (5494608).

Almost surely, 2135134610 is an apocalyptic number.

135134610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135134610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175827456).

135134610 is an abundant number, since it is smaller than the sum of its proper divisors (216520302).

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

135134610 is a wasteful number, since it uses less digits than its factorization.

135134610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 135134610 is about 11624.7412874438. The cubic root of 135134610 is about 513.1632309657.

The spelling of 135134610 in words is "one hundred thirty-five million, one hundred thirty-four thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 157 195 314 390 471 785 942 1570 2041 2207 2355 4082 4414 4710 6123 6621 10205 11035 12246 13242 20410 22070 28691 30615 33105 57382 61230 66210 86073 143455 172146 286910 346499 430365 692998 860730 1039497 1732495 2078994 3464990 4504487 5197485 9008974 10394970 13513461 22522435 27026922 45044870 67567305 135134610