135664320 has 224 divisors, whose sum is σ = 487192320. Its totient is φ = 31682560.

The previous prime is 135664307. The next prime is 135664357. The reversal of 135664320 is 23466531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306019 + ... + 306461.

Almost surely, 2^135664320 is an apocalyptic number.

135664320 is a gapful number since it is divisible by the number (10) 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 135664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243596160).

135664320 is an abundant number, since it is smaller than the sum of its proper divisors (351528000).

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

135664320 is a wasteful number, since it uses less digits than its factorization.

135664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 135664320 is about 11647.5027366384. The cubic root of 135664320 is about 513.8328676837.

The spelling of 135664320 in words is "one hundred thirty-five million, six hundred sixty-four thousand, three hundred twenty".