135554003200 has 432 divisors, whose sum is σ = 428573819520. Its totient is φ = 41213952000.

The previous prime is 135554003171. The next prime is 135554003267. The reversal of 135554003200 is 2300455531.

It is a super-2 number, since 2×135554003200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20201446 + ... + 20208154.

Almost surely, 2^135554003200 is an apocalyptic number.

135554003200 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 135554003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214286909760).

135554003200 is an abundant number, since it is smaller than the sum of its proper divisors (293019816320).

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

135554003200 is a wasteful number, since it uses less digits than its factorization.

135554003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6794 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

Adding to 135554003200 its reverse (2300455531), we get a palindrome (137854458731).

The spelling of 135554003200 in words is "one hundred thirty-five billion, five hundred fifty-four million, three thousand, two hundred".