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135155712 = 212317647
BaseRepresentation
bin10000000111001…
…01000000000000
3100102022121210010
420003211000000
5234044440322
621224504520
73230542656
oct1003450000
9312277703
10135155712
116a32353a
123931b140
13220023c3
1413d42dd6
15bceb20c
hex80e5000

135155712 has 104 divisors (see below), whose sum is σ = 382159296. Its totient is φ = 42336256.

The previous prime is 135155711. The next prime is 135155717. The reversal of 135155712 is 217551531.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135155712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135155711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208573 + ... + 209219.

Almost surely, 2135155712 is an apocalyptic number.

135155712 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 135155712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191079648).

135155712 is an abundant number, since it is smaller than the sum of its proper divisors (247003584).

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

135155712 is an equidigital number, since it uses as much as digits as its factorization.

135155712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 669 counting only the distinct ones).

The product of its digits is 5250, while the sum is 30.

The square root of 135155712 is about 11625.6488851160. The cubic root of 135155712 is about 513.1899406464.

The spelling of 135155712 in words is "one hundred thirty-five million, one hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 647 768 816 1024 1088 1294 1536 1632 1941 2048 2176 2588 3072 3264 3882 4096 4352 5176 6144 6528 7764 8704 10352 10999 12288 13056 15528 17408 20704 21998 26112 31056 32997 34816 41408 43996 52224 62112 65994 69632 82816 87992 104448 124224 131988 165632 175984 208896 248448 263976 331264 351968 496896 527952 662528 703936 993792 1055904 1325056 1407872 1987584 2111808 2650112 2815744 3975168 4223616 5631488 7950336 8447232 11262976 16894464 22525952 33788928 45051904 67577856 135155712