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135006012 = 22323750167
BaseRepresentation
bin10000000110000…
…00011100111100
3100102001000102200
420003000130330
5234030143022
621221351500
73226350351
oct1003003474
9312030380
10135006012
116a231019
1239268590
1321c7c21b
1413d04628
15bcbbbac
hex80c073c

135006012 has 18 divisors (see below), whose sum is σ = 341265288. Its totient is φ = 45001992.

The previous prime is 135005971. The next prime is 135006019. The reversal of 135006012 is 210600531.

135006012 is a `hidden beast` number, since 13 + 50 + 0 + 601 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1350060122 = 36453246552288288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135006019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1875048 + ... + 1875119.

Almost surely, 2135006012 is an apocalyptic number.

135006012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135006012 is an abundant number, since it is smaller than the sum of its proper divisors (206259276).

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

135006012 is a wasteful number, since it uses less digits than its factorization.

135006012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750177 (or 3750172 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135006012 is about 11619.2087510295. The cubic root of 135006012 is about 513.0003989829. Note that the first 3 decimals are identical.

Adding to 135006012 its reverse (210600531), we get a palindrome (345606543).

The spelling of 135006012 in words is "one hundred thirty-five million, six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3750167 7500334 11250501 15000668 22501002 33751503 45002004 67503006 135006012