135136320 has 224 divisors, whose sum is σ = 477536256. Its totient is φ = 32102400.

The previous prime is 135136301. The next prime is 135136333. The reversal of 135136320 is 23631531.

It is a happy number.

135136320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 707425 + ... + 707615.

Almost surely, 2^135136320 is an apocalyptic number.

135136320 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 135136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238768128).

135136320 is an abundant number, since it is smaller than the sum of its proper divisors (342399936).

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

135136320 is a wasteful number, since it uses less digits than its factorization.

135136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 135136320 is about 11624.8148372350. The cubic root of 135136320 is about 513.1653954874.

Adding to 135136320 its reverse (23631531), we get a palindrome (158767851).

The spelling of 135136320 in words is "one hundred thirty-five million, one hundred thirty-six thousand, three hundred twenty".