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135213444 = 223217317127
BaseRepresentation
bin10000000111100…
…11000110000100
3100102102112222100
420003303012010
5234103312234
621230032100
73231203202
oct1003630604
9312375870
10135213444
116a362953
1239348630
1322022772
1413d5a072
15bd0d399
hex80f3184

135213444 has 72 divisors (see below), whose sum is σ = 373621248. Its totient is φ = 41045760.

The previous prime is 135213431. The next prime is 135213467. The reversal of 135213444 is 444312531.

135213444 = T96 + T97 + ... + T932.

It is a happy number.

135213444 is a `hidden beast` number, since 1 + 3 + 5 + 213 + 444 = 666.

135213444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1352134442 = 36565350876682272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15409 + ... + 22535.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2135213444 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 135213444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

135213444 is an abundant number, since it is smaller than the sum of its proper divisors (238407804).

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

135213444 is a wasteful number, since it uses less digits than its factorization.

135213444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7185 (or 7180 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 135213444 is about 11628.1315782029. The cubic root of 135213444 is about 513.2630002401.

Adding to 135213444 its reverse (444312531), we get a palindrome (579525975).

The spelling of 135213444 in words is "one hundred thirty-five million, two hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 7127 9486 14254 18972 21381 28508 42762 64143 85524 121159 128286 220937 242318 256572 363477 441874 484636 662811 726954 883748 1090431 1325622 1453908 1988433 2180862 2651244 3755929 3976866 4361724 7511858 7953732 11267787 15023716 22535574 33803361 45071148 67606722 135213444