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135142875 = 325371312
BaseRepresentation
bin10000000111000…
…01110111011011
3100102021222011200
420003201313123
5234044033000
621224325243
73230460360
oct1003416733
9312258150
10135142875
116a31492a
1239313823
1321cc95ca
1413d3c467
15bce7500
hex80e1ddb

135142875 has 72 divisors (see below), whose sum is σ = 280561632. Its totient is φ = 61308000.

The previous prime is 135142829. The next prime is 135142883. The reversal of 135142875 is 578241531.

135142875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135142875 - 28 = 135142619 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1031560 + ... + 1031690.

Almost surely, 2135142875 is an apocalyptic number.

135142875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135142875 is an abundant number, since it is smaller than the sum of its proper divisors (145418757).

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

135142875 is an equidigital number, since it uses as much as digits as its factorization.

135142875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 146 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 135142875 is about 11625.0967737907. The cubic root of 135142875 is about 513.1736926518.

The spelling of 135142875 in words is "one hundred thirty-five million, one hundred forty-two thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 131 175 225 315 375 393 525 655 875 917 1125 1179 1575 1965 2625 2751 3275 4585 5895 7875 8253 9825 13755 16375 17161 22925 29475 41265 49125 51483 68775 85805 114625 120127 147375 154449 206325 257415 343875 360381 429025 600635 772245 1031625 1081143 1287075 1801905 2145125 3003175 3861225 5405715 6435375 9009525 15015875 19306125 27028575 45047625 135142875