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134278560 = 2534513797
BaseRepresentation
bin10000000000011…
…10110110100000
3100100200001120000
420000032312200
5233333403220
621154020000
73220230453
oct1000166640
9310601500
10134278560
1169884519
1238b77600
1321a86090
1413b9549a
15bbc6390
hex800eda0

134278560 has 240 divisors, whose sum is σ = 510984936. Its totient is φ = 33011712.

The previous prime is 134278511. The next prime is 134278561. The reversal of 134278560 is 65872431.

It can be written as a sum of positive squares in 4 ways, for example, as 82955664 + 51322896 = 9108^2 + 7164^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134278561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168082 + ... + 168878.

Almost surely, 2134278560 is an apocalyptic number.

134278560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255492468).

134278560 is an abundant number, since it is smaller than the sum of its proper divisors (376706376).

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

134278560 is a wasteful number, since it uses less digits than its factorization.

134278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 134278560 is about 11587.8626156854. The cubic root of 134278560 is about 512.0773402048.

The spelling of 134278560 in words is "one hundred thirty-four million, two hundred seventy-eight thousand, five hundred sixty".