135492816 has 160 divisors (see below), whose sum is σ = 390832128. Its totient is φ = 40296960.

The previous prime is 135492809. The next prime is 135492817. The reversal of 135492816 is 618294531.

135492816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135492817) 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 31 ways as a sum of consecutive naturals, for example, 1266235 + ... + 1266341.

Almost surely, 2^135492816 is an apocalyptic number.

135492816 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 135492816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195416064).

135492816 is an abundant number, since it is smaller than the sum of its proper divisors (255339312).

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

135492816 is a wasteful number, since it uses less digits than its factorization.

135492816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 135492816 is about 11640.1381435102. The cubic root of 135492816 is about 513.6162507838.

The spelling of 135492816 in words is "one hundred thirty-five million, four hundred ninety-two thousand, eight hundred sixteen".