135062641200 has 240 divisors, whose sum is σ = 439467760160. Its totient is φ = 35453583360.

The previous prime is 135062641193. The next prime is 135062641223. The reversal of 135062641200 is 2146260531.

135062641200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20532312 + ... + 20538888.

Almost surely, 2^135062641200 is an apocalyptic number.

135062641200 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 135062641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219733880080).

135062641200 is an abundant number, since it is smaller than the sum of its proper divisors (304405118960).

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

135062641200 is a wasteful number, since it uses less digits than its factorization.

135062641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 135062641200 in words is "one hundred thirty-five billion, sixty-two million, six hundred forty-one thousand, two hundred".