135338074800 has 120 divisors (see below), whose sum is σ = 434336404560. Its totient is φ = 36023270400.

The previous prime is 135338074799. The next prime is 135338074813. The reversal of 135338074800 is 8470833531.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544966 + ... + 753434.

It is an arithmetic number, because the mean of its divisors is an integer number (3619470038).

Almost surely, 2^135338074800 is an apocalyptic number.

135338074800 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 135338074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217168202280).

135338074800 is an abundant number, since it is smaller than the sum of its proper divisors (298998329760).

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

135338074800 is a wasteful number, since it uses less digits than its factorization.

135338074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209031 (or 209020 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 135338074800 in words is "one hundred thirty-five billion, three hundred thirty-eight million, seventy-four thousand, eight hundred".