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135140112 = 24322713463
BaseRepresentation
bin10000000111000…
…01001100010000
3100102021211101100
420003201030100
5234043440422
621224304400
73230446332
oct1003411420
9312254340
10135140112
116a312848
1239312100
1321cc8283
1413d3b452
15bce67ac
hex80e1310

135140112 has 60 divisors (see below), whose sum is σ = 379709824. Its totient is φ = 44867520.

The previous prime is 135140077. The next prime is 135140113. The reversal of 135140112 is 211041531.

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

It is not an unprimeable number, because it can be changed into a prime (135140113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37293 + ... + 40755.

Almost surely, 2135140112 is an apocalyptic number.

135140112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135140112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189854912).

135140112 is an abundant number, since it is smaller than the sum of its proper divisors (244569712).

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

135140112 is a wasteful number, since it uses less digits than its factorization.

135140112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 135140112 is about 11624.9779354629. The cubic root of 135140112 is about 513.1701953443.

Adding to 135140112 its reverse (211041531), we get a palindrome (346181643).

The spelling of 135140112 in words is "one hundred thirty-five million, one hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 542 813 1084 1626 2168 2439 3252 3463 4336 4878 6504 6926 9756 10389 13008 13852 19512 20778 27704 31167 39024 41556 55408 62334 83112 124668 166224 249336 498672 938473 1876946 2815419 3753892 5630838 7507784 8446257 11261676 15015568 16892514 22523352 33785028 45046704 67570056 135140112