135617328 has 280 divisors, whose sum is σ = 494420736. Its totient is φ = 34992000.

The previous prime is 135617323. The next prime is 135617333. The reversal of 135617328 is 823716531.

135617328 is a `hidden beast` number, since 1 + 3 + 5 + 617 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (135617323) and next prime (135617333).

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 = 135617292 and 135617301.

It is not an unprimeable number, because it can be changed into a prime (135617323) 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 55 ways as a sum of consecutive naturals, for example, 898053 + ... + 898203.

Almost surely, 2^135617328 is an apocalyptic number.

135617328 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 135617328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247210368).

135617328 is an abundant number, since it is smaller than the sum of its proper divisors (358803408).

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

135617328 is a wasteful number, since it uses less digits than its factorization.

135617328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135617328 is about 11645.4853054735. The cubic root of 135617328 is about 513.7735329409.

The spelling of 135617328 in words is "one hundred thirty-five million, six hundred seventeen thousand, three hundred twenty-eight".