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135175712 = 257286209
BaseRepresentation
bin10000000111010…
…01111000100000
3100102100122012212
420003221320200
5234101110322
621225141252
73230655200
oct1003517040
9312318185
10135175712
116a337571
123932a828
132200b539
1413d4a400
15bd020e2
hex80e9e20

135175712 has 36 divisors (see below), whose sum is σ = 309580110. Its totient is φ = 57931776.

The previous prime is 135175697. The next prime is 135175739. The reversal of 135175712 is 217571531.

135175712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 133726096 + 1449616 = 11564^2 + 1204^2 .

It is a super-2 number, since 2×1351757122 = 36544946229413888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41537 + ... + 44672.

Almost surely, 2135175712 is an apocalyptic number.

It is an amenable number.

135175712 is an abundant number, since it is smaller than the sum of its proper divisors (174404398).

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

135175712 is an equidigital number, since it uses as much as digits as its factorization.

135175712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86233 (or 86218 counting only the distinct ones).

The product of its digits is 7350, while the sum is 32.

The square root of 135175712 is about 11626.5090203380. The cubic root of 135175712 is about 513.2152529139.

The spelling of 135175712 in words is "one hundred thirty-five million, one hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 86209 172418 344836 603463 689672 1206926 1379344 2413852 2758688 4224241 4827704 8448482 9655408 16896964 19310816 33793928 67587856 135175712