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135232104 = 23372941677
BaseRepresentation
bin10000000111101…
…11101001101000
3100102110111120110
420003313221220
5234104411404
621230254320
73231311460
oct1003675150
9312414513
10135232104
116a375977
12393573a0
132202b0c7
1413d62ba0
15bd13b89
hex80f7a68

135232104 has 128 divisors (see below), whose sum is σ = 410054400. Its totient is φ = 36341760.

The previous prime is 135232087. The next prime is 135232109. The reversal of 135232104 is 401232531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (135232109) 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 31 ways as a sum of consecutive naturals, for example, 199414 + ... + 200090.

It is an arithmetic number, because the mean of its divisors is an integer number (3203550).

Almost surely, 2135232104 is an apocalyptic number.

135232104 is a gapful number since it is divisible by the number (14) 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 135232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205027200).

135232104 is an abundant number, since it is smaller than the sum of its proper divisors (274822296).

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

135232104 is a wasteful number, since it uses less digits than its factorization.

135232104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 135232104 is about 11628.9339150242. The cubic root of 135232104 is about 513.2866099413.

Adding to 135232104 its reverse (401232531), we get a palindrome (536464635).

The spelling of 135232104 in words is "one hundred thirty-five million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 41 42 56 58 82 84 87 116 123 164 168 174 203 232 246 287 328 348 406 492 574 609 677 696 812 861 984 1148 1189 1218 1354 1624 1722 2031 2296 2378 2436 2708 3444 3567 4062 4739 4756 4872 5416 6888 7134 8124 8323 9478 9512 14217 14268 16248 16646 18956 19633 24969 27757 28434 28536 33292 37912 39266 49938 55514 56868 58899 66584 78532 83271 99876 111028 113736 117798 137431 157064 166542 194299 199752 222056 235596 274862 333084 388598 412293 471192 549724 582897 666168 777196 804953 824586 1099448 1165794 1554392 1609906 1649172 2331588 2414859 3219812 3298344 4663176 4829718 5634671 6439624 9659436 11269342 16904013 19318872 22538684 33808026 45077368 67616052 135232104