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135455232 = 293118017
BaseRepresentation
bin10000001001011…
…10001000000000
3100102212211122110
420010232020000
5234134031412
621235135320
73233231133
oct1004561000
9312784573
10135455232
116a508580
1239444540
13220a8833
1413dc021a
15bd59d3c
hex812e200

135455232 has 80 divisors (see below), whose sum is σ = 393715872. Its totient is φ = 41041920.

The previous prime is 135455189. The next prime is 135455233. The reversal of 135455232 is 232554531.

It is a self number, because there is not a number n which added to its sum of digits gives 135455232.

It is not an unprimeable number, because it can be changed into a prime (135455233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12888 + ... + 20904.

Almost surely, 2135455232 is an apocalyptic number.

135455232 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 135455232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196857936).

135455232 is an abundant number, since it is smaller than the sum of its proper divisors (258260640).

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

135455232 is an equidigital number, since it uses as much as digits as its factorization.

135455232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8033 counting only the distinct ones).

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

The square root of 135455232 is about 11638.5236177103. The cubic root of 135455232 is about 513.5687561666.

The spelling of 135455232 in words is "one hundred thirty-five million, four hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8017 8448 16034 16896 24051 32068 48102 64136 88187 96204 128272 176374 192408 256544 264561 352748 384816 513088 529122 705496 769632 1026176 1058244 1410992 1539264 2052352 2116488 2821984 3078528 4104704 4232976 5643968 6157056 8465952 11287936 12314112 16931904 22575872 33863808 45151744 67727616 135455232