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135438880 = 255846493
BaseRepresentation
bin10000001001010…
…10001000100000
3100102212000012211
420010222020200
5234133021010
621234531504
73233132353
oct1004521040
9312760184
10135438880
116a4a7265
1239436b94
13220a1265
1413db829a
15bd5508a
hex812a220

135438880 has 24 divisors (see below), whose sum is σ = 319974732. Its totient is φ = 54175488.

The previous prime is 135438851. The next prime is 135438889. The reversal of 135438880 is 88834531.

It can be written as a sum of positive squares in 2 ways, for example, as 133911184 + 1527696 = 11572^2 + 1236^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (135438889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 423087 + ... + 423406.

Almost surely, 2135438880 is an apocalyptic number.

135438880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135438880 is an abundant number, since it is smaller than the sum of its proper divisors (184535852).

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

135438880 is an equidigital number, since it uses as much as digits as its factorization.

135438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846508 (or 846500 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 135438880 is about 11637.8211019073. The cubic root of 135438880 is about 513.5480895248.

The spelling of 135438880 in words is "one hundred thirty-five million, four hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 846493 1692986 3385972 4232465 6771944 8464930 13543888 16929860 27087776 33859720 67719440 135438880