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135533534304 = 25372113254977
BaseRepresentation
bin111111000111001101…
…1011001110001100000
3110221211120020220122210
41332032123121301200
54210033041044204
6142132510002120
712535435014300
oct1761633316140
9427746226583
10135533534304
1152530168383
1222325aa6340
13ca1c42a09c
1467ba371600
1537d3a59389
hex1f8e6d9c60

135533534304 has 144 divisors (see below), whose sum is σ = 417525455088. Its totient is φ = 38381027328.

The previous prime is 135533534249. The next prime is 135533534329. The reversal of 135533534304 is 403435335531.

It is a congruent number.

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, 404064 + ... + 659040.

It is an arithmetic number, because the mean of its divisors is an integer number (2899482327).

Almost surely, 2135533534304 is an apocalyptic number.

135533534304 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 135533534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208762727544).

135533534304 is an abundant number, since it is smaller than the sum of its proper divisors (281991920784).

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

135533534304 is a wasteful number, since it uses less digits than its factorization.

135533534304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255117 (or 255102 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 39.

Adding to 135533534304 its reverse (403435335531), we get a palindrome (538968869835).

The spelling of 135533534304 in words is "one hundred thirty-five billion, five hundred thirty-three million, five hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 113 147 168 196 224 226 294 336 339 392 452 588 672 678 784 791 904 1176 1356 1568 1582 1808 2352 2373 2712 3164 3616 4704 4746 5424 5537 6328 9492 10848 11074 12656 16611 18984 22148 25312 33222 37968 44296 66444 75936 88592 132888 177184 254977 265776 509954 531552 764931 1019908 1529862 1784839 2039816 3059724 3569678 4079632 5354517 6119448 7139356 8159264 10709034 12238896 12493873 14278712 21418068 24477792 24987746 28557424 28812401 37481619 42836136 49975492 57114848 57624802 74963238 85672272 86437203 99950984 115249604 149926476 171344544 172874406 199901968 201686807 230499208 299852952 345748812 399803936 403373614 460998416 599705904 605060421 691497624 806747228 921996832 1199411808 1210120842 1382995248 1411807649 1613494456 2420241684 2765990496 2823615298 3226988912 4235422947 4840483368 5647230596 6453977824 8470845894 9680966736 11294461192 16941691788 19361933472 22588922384 33883383576 45177844768 67766767152 135533534304