135618816 has 144 divisors (see below), whose sum is σ = 381165120. Its totient is φ = 42762240.

The previous prime is 135618811. The next prime is 135618817. The reversal of 135618816 is 618816531.

Its product of digits (34560) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (135618811) 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 15 ways as a sum of consecutive naturals, for example, 1857756 + ... + 1857828.

It is an arithmetic number, because the mean of its divisors is an integer number (2646980).

Almost surely, 2^135618816 is an apocalyptic number.

135618816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190582560).

135618816 is an abundant number, since it is smaller than the sum of its proper divisors (245546304).

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

135618816 is an equidigital number, since it uses as much as digits as its factorization.

135618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 135618816 is about 11645.5491927174. The cubic root of 135618816 is about 513.7754119835.

The spelling of 135618816 in words is "one hundred thirty-five million, six hundred eighteen thousand, eight hundred sixteen".