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135085212 = 22331965831
BaseRepresentation
bin10000000110100…
…11110010011100
3100102012001002000
420003103302130
5234040211322
621223202300
73230130303
oct1003236234
9312161060
10135085212
116a285579
12392a6390
1321ca92a2
1413d2543a
15bcd53ac
hex80d3c9c

135085212 has 48 divisors (see below), whose sum is σ = 368659200. Its totient is φ = 42657840.

The previous prime is 135085211. The next prime is 135085217. The reversal of 135085212 is 212580531.

It is a happy number.

135085212 is a `hidden beast` number, since 135 + 0 + 8 + 521 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135085211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30864 + ... + 34967.

It is an arithmetic number, because the mean of its divisors is an integer number (7680400).

Almost surely, 2135085212 is an apocalyptic number.

135085212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135085212 is an abundant number, since it is smaller than the sum of its proper divisors (233573988).

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

135085212 is a wasteful number, since it uses less digits than its factorization.

135085212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65863 (or 65855 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 135085212 is about 11622.6164007938. The cubic root of 135085212 is about 513.1006949835.

The spelling of 135085212 in words is "one hundred thirty-five million, eighty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 65831 131662 197493 263324 394986 592479 789972 1184958 1250789 1777437 2369916 2501578 3554874 3752367 5003156 7109748 7504734 11257101 15009468 22514202 33771303 45028404 67542606 135085212