135084963 has 16 divisors (see below), whose sum is σ = 194206880. Its totient is φ = 83026944.

The previous prime is 135084959. The next prime is 135085019. The reversal of 135084963 is 369480531.

It is not a de Polignac number, because 135084963 - 2² = 135084959 is a prime.

It is a super-2 number, since 2×135084963² = 36495894457422738, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135084163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41043 + ... + 44211.

It is an arithmetic number, because the mean of its divisors is an integer number (12137930).

Almost surely, 2^135084963 is an apocalyptic number.

135084963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

135084963 is a deficient number, since it is larger than the sum of its proper divisors (59121917).

135084963 is a wasteful number, since it uses less digits than its factorization.

135084963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 135084963 is about 11622.6056889150. The cubic root of 135084963 is about 513.1003797204.

The spelling of 135084963 in words is "one hundred thirty-five million, eighty-four thousand, nine hundred sixty-three".