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135423552 = 26311371733
BaseRepresentation
bin10000001001001…
…10011001000000
3100102211020012010
420010212121000
5234132023202
621234332520
73233036565
oct1004463100
9312736163
10135423552
116a4967a0
123942a140
13220972a4
1413db286c
15bd5076c
hex8126640

135423552 has 112 divisors (see below), whose sum is σ = 401677632. Its totient is φ = 39905280.

The previous prime is 135423539. The next prime is 135423569. The reversal of 135423552 is 255324531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77278 + ... + 79010.

Almost surely, 2135423552 is an apocalyptic number.

135423552 is a gapful number since it is divisible by the number (12) 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 135423552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200838816).

135423552 is an abundant number, since it is smaller than the sum of its proper divisors (266254080).

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

135423552 is a wasteful number, since it uses less digits than its factorization.

135423552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1786 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 135423552 is about 11637.1625407571. The cubic root of 135423552 is about 513.5287155654.

The spelling of 135423552 in words is "one hundred thirty-five million, four hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 192 222 264 296 352 407 444 528 592 704 814 888 1056 1184 1221 1628 1733 1776 2112 2368 2442 3256 3466 3552 4884 5199 6512 6932 7104 9768 10398 13024 13864 19063 19536 20796 26048 27728 38126 39072 41592 55456 57189 64121 76252 78144 83184 110912 114378 128242 152504 166368 192363 228756 256484 305008 332736 384726 457512 512968 610016 705331 769452 915024 1025936 1220032 1410662 1538904 1830048 2051872 2115993 2821324 3077808 3660096 4103744 4231986 5642648 6155616 8463972 11285296 12311232 16927944 22570592 33855888 45141184 67711776 135423552