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135341580 = 223511205063
BaseRepresentation
bin10000001000100…
…10011000001100
3100102200001202010
420010102120030
5234121412310
621232501220
73232245603
oct1004223014
9312601663
10135341580
116a440150
12393aa810
1322068b9a
1413d90a3a
15bd36320
hex811260c

135341580 has 48 divisors (see below), whose sum is σ = 413409024. Its totient is φ = 32809920.

The previous prime is 135341551. The next prime is 135341581. The reversal of 135341580 is 85143531.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (135341581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101872 + ... + 103191.

It is an arithmetic number, because the mean of its divisors is an integer number (8612688).

Almost surely, 2135341580 is an apocalyptic number.

135341580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135341580 is an abundant number, since it is smaller than the sum of its proper divisors (278067444).

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

135341580 is a wasteful number, since it uses less digits than its factorization.

135341580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205086 (or 205084 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 135341580 is about 11633.6400150598. The cubic root of 135341580 is about 513.4250815188.

The spelling of 135341580 in words is "one hundred thirty-five million, three hundred forty-one thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 205063 410126 615189 820252 1025315 1230378 2050630 2255693 2460756 3075945 4101260 4511386 6151890 6767079 9022772 11278465 12303780 13534158 22556930 27068316 33835395 45113860 67670790 135341580