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135710064 = 243273143101
BaseRepresentation
bin10000001011011…
…00010101110000
3100110100210012200
420011230111300
5234220210224
621244423200
73235342110
oct1005542560
9313323180
10135710064
116a671a86
1239547b00
1322167819
1414049040
15bdaa5c9
hex816c570

135710064 has 240 divisors, whose sum is σ = 463017984. Its totient is φ = 36288000.

The previous prime is 135710011. The next prime is 135710093. The reversal of 135710064 is 460017531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343614 + ... + 1343714.

Almost surely, 2135710064 is an apocalyptic number.

135710064 is a gapful number since it is divisible by the number (14) 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 135710064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231508992).

135710064 is an abundant number, since it is smaller than the sum of its proper divisors (327307920).

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

135710064 is a wasteful number, since it uses less digits than its factorization.

135710064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135710064 is about 11649.4662538676. The cubic root of 135710064 is about 513.8906134721.

Adding to 135710064 its reverse (460017531), we get a palindrome (595727595).

The spelling of 135710064 in words is "one hundred thirty-five million, seven hundred ten thousand, sixty-four".