135309445545984 has 360 divisors, whose sum is σ = 379870334398800. Its totient is φ = 42823864811520.

The previous prime is 135309445545977. The next prime is 135309445546061. The reversal of 135309445545984 is 489545544903531.

It is a happy number.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2503431792 + ... + 2503485840.

It is an arithmetic number, because the mean of its divisors is an integer number (1055195373330).

Almost surely, 2^{135309445545984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135309445545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189935167199400).

135309445545984 is an abundant number, since it is smaller than the sum of its proper divisors (244560888852816).

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

135309445545984 is an frugal number, since it uses more digits than its factorization.

135309445545984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54195 (or 54138 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 69.

The spelling of 135309445545984 in words is "one hundred thirty-five trillion, three hundred nine billion, four hundred forty-five million, five hundred forty-five thousand, nine hundred eighty-four".