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135228590 = 25759137239
BaseRepresentation
bin10000000111101…
…10110010101110
3100102110022202022
420003312302232
5234104303330
621230230142
73231265310
oct1003666256
9312408668
10135228590
116a373272
1239355352
1322029623
1413d617b0
15bd12ae5
hex80f6cae

135228590 has 64 divisors (see below), whose sum is σ = 286156800. Its totient is φ = 45056256.

The previous prime is 135228589. The next prime is 135228617. The reversal of 135228590 is 95822531.

135228590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135228590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565691 + ... + 565929.

It is an arithmetic number, because the mean of its divisors is an integer number (4471200).

Almost surely, 2135228590 is an apocalyptic number.

135228590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135228590 is an abundant number, since it is smaller than the sum of its proper divisors (150928210).

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

135228590 is a wasteful number, since it uses less digits than its factorization.

135228590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 135228590 is about 11628.7828253863. The cubic root of 135228590 is about 513.2821639931.

The spelling of 135228590 in words is "one hundred thirty-five million, two hundred twenty-eight thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 35 59 70 118 137 239 274 295 413 478 590 685 826 959 1195 1370 1673 1918 2065 2390 3346 4130 4795 8083 8365 9590 14101 16166 16730 28202 32743 40415 56581 65486 70505 80830 98707 113162 141010 163715 197414 229201 282905 327430 458402 493535 565810 987070 1146005 1931837 2292010 3863674 9659185 13522859 19318370 27045718 67614295 135228590