135505255200 has 144 divisors (see below), whose sum is σ = 504079611840. Its totient is φ = 30972625920.

The previous prime is 135505255187. The next prime is 135505255201. The reversal of 135505255200 is 2552505531.

It is not an unprimeable number, because it can be changed into a prime (135505255201) 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 23 ways as a sum of consecutive naturals, for example, 4016095 + ... + 4049694.

It is an arithmetic number, because the mean of its divisors is an integer number (3500552860).

Almost surely, 2^135505255200 is an apocalyptic number.

135505255200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135505255200 is an abundant number, since it is smaller than the sum of its proper divisors (368574356640).

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

135505255200 is a wasteful number, since it uses less digits than its factorization.

135505255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065819 (or 8065806 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 33.

The spelling of 135505255200 in words is "one hundred thirty-five billion, five hundred five million, two hundred fifty-five thousand, two hundred".