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135102448 = 241359101109
BaseRepresentation
bin10000000110101…
…11111111110000
3100102012220201101
420003113333300
5234041234243
621223414144
73230231455
oct1003277760
9312186641
10135102448
116a297518
12392b4354
1321cb40a0
1413d2b82c
15bcda54d
hex80d7ff0

135102448 has 80 divisors (see below), whose sum is σ = 292168800. Its totient is φ = 60134400.

The previous prime is 135102439. The next prime is 135102449. The reversal of 135102448 is 844201531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135102449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239418 + ... + 1239526.

It is an arithmetic number, because the mean of its divisors is an integer number (3652110).

Almost surely, 2135102448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135102448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146084400).

135102448 is an abundant number, since it is smaller than the sum of its proper divisors (157066352).

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

135102448 is a wasteful number, since it uses less digits than its factorization.

135102448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 135102448 is about 11623.3578625112. The cubic root of 135102448 is about 513.1225168329.

Adding to 135102448 its reverse (844201531), we get a palindrome (979303979).

The spelling of 135102448 in words is "one hundred thirty-five million, one hundred two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 59 101 104 109 118 202 208 218 236 404 436 472 767 808 872 944 1313 1417 1534 1616 1744 2626 2834 3068 5252 5668 5959 6136 6431 10504 11009 11336 11918 12272 12862 21008 22018 22672 23836 25724 44036 47672 51448 77467 83603 88072 95344 102896 143117 154934 167206 176144 286234 309868 334412 572468 619736 649531 668824 1144936 1239472 1299062 1337648 2289872 2598124 5196248 8443903 10392496 16887806 33775612 67551224 135102448