135305445000 has 320 divisors, whose sum is σ = 477038548800. Its totient is φ = 31669120000.

The previous prime is 135305444999. The next prime is 135305445013. The reversal of 135305445000 is 544503531.

It is a super-3 number, since 3×135305445000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4770862 + ... + 4799138.

It is an arithmetic number, because the mean of its divisors is an integer number (1490745465).

Almost surely, 2^135305445000 is an apocalyptic number.

135305445000 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 135305445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238519274400).

135305445000 is an abundant number, since it is smaller than the sum of its proper divisors (341733103800).

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

135305445000 is a wasteful number, since it uses less digits than its factorization.

135305445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28346 (or 28327 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 135305445000 its reverse (544503531), we get a palindrome (135849948531).

The spelling of 135305445000 in words is "one hundred thirty-five billion, three hundred five million, four hundred forty-five thousand".