135320803200 has 960 divisors, whose sum is σ = 562700413440. Its totient is φ = 31726080000.

The previous prime is 135320803187. The next prime is 135320803201. The reversal of 135320803200 is 2308023531.

135320803200 is a `hidden beast` number, since 13 + 5 + 320 + 8 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135320803201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88386435 + ... + 88387965.

It is an arithmetic number, because the mean of its divisors is an integer number (586146264).

Almost surely, 2^135320803200 is an apocalyptic number.

135320803200 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 135320803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281350206720).

135320803200 is an abundant number, since it is smaller than the sum of its proper divisors (427379610240).

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

135320803200 is a wasteful number, since it uses less digits than its factorization.

135320803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 135320803200 its reverse (2308023531), we get a palindrome (137628826731).

The spelling of 135320803200 in words is "one hundred thirty-five billion, three hundred twenty million, eight hundred three thousand, two hundred".