135988800 has 168 divisors, whose sum is σ = 457699872. Its totient is φ = 35328000.

The previous prime is 135988771. The next prime is 135988807. The reversal of 135988800 is 8889531.

135988800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135988807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196455 + ... + 197145.

It is an arithmetic number, because the mean of its divisors is an integer number (2724404).

Almost surely, 2^135988800 is an apocalyptic number.

135988800 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 135988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228849936).

135988800 is an abundant number, since it is smaller than the sum of its proper divisors (321711072).

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

135988800 is a wasteful number, since it uses less digits than its factorization.

135988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 135988800 is about 11661.4235837654. The cubic root of 135988800 is about 514.2422009040.

The spelling of 135988800 in words is "one hundred thirty-five million, nine hundred eighty-eight thousand, eight hundred".