135510816 has 48 divisors (see below), whose sum is σ = 406534464. Its totient is φ = 38717184.

The previous prime is 135510811. The next prime is 135510821. The reversal of 135510816 is 618015531.

It is an interprime number because it is at equal distance from previous prime (135510811) and next prime (135510821).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (135510811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100155 + ... + 101498.

It is an arithmetic number, because the mean of its divisors is an integer number (8469468).

Almost surely, 2^135510816 is an apocalyptic number.

135510816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135510816 is an abundant number, since it is smaller than the sum of its proper divisors (271023648).

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

135510816 is a wasteful number, since it uses less digits than its factorization.

135510816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201673 (or 201665 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 135510816 is about 11640.9113045328. The cubic root of 135510816 is about 513.6389941376.

The spelling of 135510816 in words is "one hundred thirty-five million, five hundred ten thousand, eight hundred sixteen".