135324221200 has 180 divisors, whose sum is σ = 378632646912. Its totient is φ = 46343404800.

The previous prime is 135324221191. The next prime is 135324221213. The reversal of 135324221200 is 2122423531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19420117 + ... + 19427083.

Almost surely, 2^135324221200 is an apocalyptic number.

135324221200 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 135324221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189316323456).

135324221200 is an abundant number, since it is smaller than the sum of its proper divisors (243308425712).

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

135324221200 is a wasteful number, since it uses less digits than its factorization.

135324221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 135324221200 its reverse (2122423531), we get a palindrome (137446644731).

The spelling of 135324221200 in words is "one hundred thirty-five billion, three hundred twenty-four million, two hundred twenty-one thousand, two hundred".