135522034200 has 576 divisors, whose sum is σ = 545536512000. Its totient is φ = 30832462080.

The previous prime is 135522034199. The next prime is 135522034201. The reversal of 135522034200 is 2430225531.

It is a happy number.

135522034200 is a `hidden beast` number, since 1 + 35 + 5 + 2 + 203 + 420 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135522034199) and next prime (135522034201).

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 (135522034201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 63238329 + ... + 63240471.

It is an arithmetic number, because the mean of its divisors is an integer number (947112000).

Almost surely, 2^135522034200 is an apocalyptic number.

135522034200 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 135522034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272768256000).

135522034200 is an abundant number, since it is smaller than the sum of its proper divisors (410014477800).

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

135522034200 is a wasteful number, since it uses less digits than its factorization.

135522034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 135522034200 its reverse (2430225531), we get a palindrome (137952259731).

The spelling of 135522034200 in words is "one hundred thirty-five billion, five hundred twenty-two million, thirty-four thousand, two hundred".