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135000312 = 23313614133
BaseRepresentation
bin10000000101111…
…11000011111000
3100102000201121120
420002333003320
5234030002222
621221305240
73226324626
oct1002770370
9312021546
10135000312
116a227807
1239265220
1321c79755
1413d02516
15bcba15c
hex80bf0f8

135000312 has 32 divisors (see below), whose sum is σ = 337830480. Its totient is φ = 44956160.

The previous prime is 135000311. The next prime is 135000329. The reversal of 135000312 is 213000531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135000291 and 135000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30598 + ... + 34730.

Almost surely, 2135000312 is an apocalyptic number.

135000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135000312 is an abundant number, since it is smaller than the sum of its proper divisors (202830168).

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

135000312 is a wasteful number, since it uses less digits than its factorization.

135000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 135000312 is about 11618.9634649568. The cubic root of 135000312 is about 512.9931791971.

Adding to 135000312 its reverse (213000531), we get a palindrome (348000843).

The spelling of 135000312 in words is "one hundred thirty-five million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 1361 2722 4083 4133 5444 8166 8266 10888 12399 16332 16532 24798 32664 33064 49596 99192 5625013 11250026 16875039 22500052 33750078 45000104 67500156 135000312