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135632112 = 24371136697
BaseRepresentation
bin10000001010110…
…01010011110000
3100110012211021120
420011121103300
5234210211422
621243022240
73234565620
oct1005312360
9313184246
10135632112
116a619460
123950a980
132213b1b5
1414028880
15bd9245c
hex81594f0

135632112 has 80 divisors (see below), whose sum is σ = 436852992. Its totient is φ = 35228160.

The previous prime is 135632111. The next prime is 135632129. The reversal of 135632112 is 211236531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135632111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14653 + ... + 22044.

Almost surely, 2135632112 is an apocalyptic number.

135632112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135632112 is an abundant number, since it is smaller than the sum of its proper divisors (301220880).

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

135632112 is a wasteful number, since it uses less digits than its factorization.

135632112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36726 (or 36720 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 135632112 is about 11646.1200405972. The cubic root of 135632112 is about 513.7922015285.

Adding to 135632112 its reverse (211236531), we get a palindrome (346868643).

The spelling of 135632112 in words is "one hundred thirty-five million, six hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 36697 73394 110091 146788 220182 256879 293576 403667 440364 513758 587152 770637 807334 880728 1027516 1211001 1541274 1614668 1761456 2055032 2422002 2825669 3082548 3229336 4110064 4844004 5651338 6165096 6458672 8477007 9688008 11302676 12330192 16954014 19376016 22605352 33908028 45210704 67816056 135632112