135550120320 has 768 divisors, whose sum is σ = 503433403200. Its totient is φ = 33546240000.

The previous prime is 135550120319. The next prime is 135550120327. The reversal of 135550120320 is 23021055531.

It is a happy number.

135550120320 is a `hidden beast` number, since 135 + 5 + 501 + 2 + 0 + 3 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135550120327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540040195 + ... + 540040445.

Almost surely, 2^135550120320 is an apocalyptic number.

135550120320 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 135550120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251716701600).

135550120320 is an abundant number, since it is smaller than the sum of its proper divisors (367883282880).

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

135550120320 is a wasteful number, since it uses less digits than its factorization.

135550120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 135550120320 its reverse (23021055531), we get a palindrome (158571175851).

The spelling of 135550120320 in words is "one hundred thirty-five billion, five hundred fifty million, one hundred twenty thousand, three hundred twenty".