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135432324 = 22341672503
BaseRepresentation
bin10000001001010…
…00100010000100
3100102211200020000
420010220202010
5234132313244
621234441300
73233104266
oct1004504204
9312750200
10135432324
116a4a2345
1239433230
132209b291
1413db5b36
15bd53169
hex8128884

135432324 has 60 divisors (see below), whose sum is σ = 356309184. Its totient is φ = 44855856.

The previous prime is 135432313. The next prime is 135432347. The reversal of 135432324 is 423234531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 52857 + ... + 55359.

Almost surely, 2135432324 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 135432324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178154592).

135432324 is an abundant number, since it is smaller than the sum of its proper divisors (220876860).

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

135432324 is a wasteful number, since it uses less digits than its factorization.

135432324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2675 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 135432324 is about 11637.5394306529. The cubic root of 135432324 is about 513.5398031903.

Adding to 135432324 its reverse (423234531), we get a palindrome (558666855).

The spelling of 135432324 in words is "one hundred thirty-five million, four hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 167 324 334 501 668 1002 1503 2004 2503 3006 4509 5006 6012 7509 9018 10012 13527 15018 18036 22527 27054 30036 45054 54108 67581 90108 135162 202743 270324 405486 418001 810972 836002 1254003 1672004 2508006 3762009 5016012 7524018 11286027 15048036 22572054 33858081 45144108 67716162 135432324