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135532040 = 2357269149
BaseRepresentation
bin10000001010000…
…00111000001000
3100110000202000012
420011000320020
5234144011130
621240531052
73234001100
oct1005007010
9313022005
10135532040
116a560256
1239480a88
1322104797
1414000200
15bd72995
hex8140e08

135532040 has 48 divisors (see below), whose sum is σ = 354739500. Its totient is φ = 46467456.

The previous prime is 135532037. The next prime is 135532043. The reversal of 135532040 is 40235531.

It is an interprime number because it is at equal distance from previous prime (135532037) and next prime (135532043).

It can be written as a sum of positive squares in 2 ways, for example, as 132756484 + 2775556 = 11522^2 + 1666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135531997 and 135532015.

It is not an unprimeable number, because it can be changed into a prime (135532043) 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 11 ways as a sum of consecutive naturals, for example, 32615 + ... + 36534.

Almost surely, 2135532040 is an apocalyptic number.

135532040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135532040 is an abundant number, since it is smaller than the sum of its proper divisors (219207460).

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

135532040 is a wasteful number, since it uses less digits than its factorization.

135532040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69174 (or 69163 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 135532040 is about 11641.8228813189. The cubic root of 135532040 is about 513.6658084915.

Adding to 135532040 its reverse (40235531), we get a palindrome (175767571).

The spelling of 135532040 in words is "one hundred thirty-five million, five hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 69149 138298 276596 345745 484043 553192 691490 968086 1382980 1936172 2420215 2765960 3388301 3872344 4840430 6776602 9680860 13553204 16941505 19361720 27106408 33883010 67766020 135532040