135810816 has 72 divisors (see below), whose sum is σ = 363823824. Its totient is φ = 44974080.

The previous prime is 135810793. The next prime is 135810847. The reversal of 135810816 is 618018531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138520 + ... + 139496.

Almost surely, 2^135810816 is an apocalyptic number.

135810816 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 135810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181911912).

135810816 is an abundant number, since it is smaller than the sum of its proper divisors (228013008).

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

135810816 is an equidigital number, since it uses as much as digits as its factorization.

135810816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 135810816 is about 11653.7897698560. The cubic root of 135810816 is about 514.0177538822.

The spelling of 135810816 in words is "one hundred thirty-five million, eight hundred ten thousand, eight hundred sixteen".