135491328 has 216 divisors, whose sum is σ = 462565376. Its totient is φ = 37324800.

The previous prime is 135491327. The next prime is 135491341. The reversal of 135491328 is 823194531.

135491328 is a `hidden beast` number, since 135 + 491 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135491292 and 135491301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135491327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499833 + ... + 500103.

Almost surely, 2^135491328 is an apocalyptic number.

135491328 is a gapful number since it is divisible by the number (18) 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 135491328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231282688).

135491328 is an abundant number, since it is smaller than the sum of its proper divisors (327074048).

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

135491328 is a wasteful number, since it uses less digits than its factorization.

135491328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 314 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 135491328 is about 11640.0742265675. The cubic root of 135491328 is about 513.6143705764.

The spelling of 135491328 in words is "one hundred thirty-five million, four hundred ninety-one thousand, three hundred twenty-eight".