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135539968 = 282918257
BaseRepresentation
bin10000001010000…
…10110100000000
3100110001010212211
420011002310000
5234144234333
621241031504
73234033154
oct1005026400
9313033784
10135539968
116a566203
1239485594
1322108285
1414003064
15bd74ecd
hex8142d00

135539968 has 36 divisors (see below), whose sum is σ = 279895140. Its totient is φ = 65429504.

The previous prime is 135539959. The next prime is 135539981. The reversal of 135539968 is 869935531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55830784 + 79709184 = 7472^2 + 8928^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1705 + ... + 16552.

It is an arithmetic number, because the mean of its divisors is an integer number (7774865).

Almost surely, 2135539968 is an apocalyptic number.

It is an amenable number.

135539968 is an abundant number, since it is smaller than the sum of its proper divisors (144355172).

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

135539968 is an equidigital number, since it uses as much as digits as its factorization.

135539968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18302 (or 18288 counting only the distinct ones).

The product of its digits is 874800, while the sum is 49.

The square root of 135539968 is about 11642.1633728444. The cubic root of 135539968 is about 513.6758239907.

The spelling of 135539968 in words is "one hundred thirty-five million, five hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 18257 36514 73028 146056 292112 529453 584224 1058906 1168448 2117812 2336896 4235624 4673792 8471248 16942496 33884992 67769984 135539968