135597120 has 112 divisors (see below), whose sum is σ = 434083968. Its totient is φ = 35860480.

The previous prime is 135597113. The next prime is 135597139. The reversal of 135597120 is 21795531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131005 + ... + 132035.

Almost surely, 2^135597120 is an apocalyptic number.

135597120 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 135597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217041984).

135597120 is an abundant number, since it is smaller than the sum of its proper divisors (298486848).

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

135597120 is a wasteful number, since it uses less digits than its factorization.

135597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 135597120 is about 11644.6176407815. The cubic root of 135597120 is about 513.7480129688.

The spelling of 135597120 in words is "one hundred thirty-five million, five hundred ninety-seven thousand, one hundred twenty".