135305030400 has 432 divisors, whose sum is σ = 468873323520. Its totient is φ = 34316697600.

The previous prime is 135305030299. The next prime is 135305030401. The reversal of 135305030400 is 4030503531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (135305030401) 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 47 ways as a sum of consecutive naturals, for example, 35114874 + ... + 35118726.

Almost surely, 2^135305030400 is an apocalyptic number.

135305030400 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 135305030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234436661760).

135305030400 is an abundant number, since it is smaller than the sum of its proper divisors (333568293120).

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

135305030400 is a wasteful number, since it uses less digits than its factorization.

135305030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 135305030400 its reverse (4030503531), we get a palindrome (139335533931).

The spelling of 135305030400 in words is "one hundred thirty-five billion, three hundred five million, thirty thousand, four hundred".