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135006132 = 22329633797
BaseRepresentation
bin10000000110000…
…00011110110100
3100102001000121010
420003000132310
5234030144012
621221352220
73226350612
oct1003003664
9312030533
10135006132
116a231118
1239268670
1321c7c2b1
1413d046b2
15bcbbc3c
hex80c07b4

135006132 has 24 divisors (see below), whose sum is σ = 315203616. Its totient is φ = 44975008.

The previous prime is 135006121. The next prime is 135006133. The reversal of 135006132 is 231600531.

It is a junction number, because it is equal to n+sod(n) for n = 135006099 and 135006108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135006133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33658 + ... + 37454.

It is an arithmetic number, because the mean of its divisors is an integer number (13133484).

Almost surely, 2135006132 is an apocalyptic number.

135006132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135006132 is an abundant number, since it is smaller than the sum of its proper divisors (180197484).

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

135006132 is a wasteful number, since it uses less digits than its factorization.

135006132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 135006132 is about 11619.2139148911. The cubic root of 135006132 is about 513.0005509762. Note that the first 3 decimals are identical.

Adding to 135006132 its reverse (231600531), we get a palindrome (366606663).

The spelling of 135006132 in words is "one hundred thirty-five million, six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 2963 3797 5926 7594 8889 11391 11852 15188 17778 22782 35556 45564 11250511 22501022 33751533 45002044 67503066 135006132