135321143200 has 36 divisors (see below), whose sum is σ = 330352742790. Its totient is φ = 54128456960.

The previous prime is 135321143183. The next prime is 135321143207. The reversal of 135321143200 is 2341123531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 67406698384 + 67914444816 = 259628^2 + 260604^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135321143207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 84574915 + ... + 84576514.

Almost surely, 2^135321143200 is an apocalyptic number.

135321143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135321143200 is an abundant number, since it is smaller than the sum of its proper divisors (195031599590).

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

135321143200 is a wasteful number, since it uses less digits than its factorization.

135321143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169151449 (or 169151436 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 135321143200 its reverse (2341123531), we get a palindrome (137662266731).

The spelling of 135321143200 in words is "one hundred thirty-five billion, three hundred twenty-one million, one hundred forty-three thousand, two hundred".