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135523444 = 22731433631
BaseRepresentation
bin10000001001111…
…10110001110100
3100110000022012211
420010332301310
5234143222234
621240423204
73233634040
oct1004766164
9313008184
10135523444
116a554851
1239477b04
13221008b4
1413ddb020
15bd70164
hex813ec74

135523444 has 48 divisors (see below), whose sum is σ = 286375936. Its totient is φ = 54885600.

The previous prime is 135523417. The next prime is 135523459. The reversal of 135523444 is 444325531.

It is a super-2 number, since 2×1355234442 = 36733207747242272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35509 + ... + 39139.

Almost surely, 2135523444 is an apocalyptic number.

135523444 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 135523444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143187968).

135523444 is an abundant number, since it is smaller than the sum of its proper divisors (150852492).

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

135523444 is a wasteful number, since it uses less digits than its factorization.

135523444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3714 counting only the distinct ones).

The product of its digits is 28800, while the sum is 31.

The square root of 135523444 is about 11641.4536892950. The cubic root of 135523444 is about 513.6549486617.

Adding to 135523444 its reverse (444325531), we get a palindrome (579848975).

The spelling of 135523444 in words is "one hundred thirty-five million, five hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 43 62 86 124 172 217 301 434 602 868 1204 1333 2666 3631 5332 7262 9331 14524 18662 25417 37324 50834 101668 112561 156133 225122 312266 450244 624532 787927 1092931 1575854 2185862 3151708 4371724 4840123 9680246 19360492 33880861 67761722 135523444