135447309649920 has 768 divisors, whose sum is σ = 468745217740800. Its totient is φ = 33287127695360.

The previous prime is 135447309649909. The next prime is 135447309649933. The reversal of 135447309649920 is 29946903744531.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10060701109 + ... + 10060714571.

It is an arithmetic number, because the mean of its divisors is an integer number (610345335600).

Almost surely, 2^{135447309649920} is an apocalyptic number.

135447309649920 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 135447309649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234372608870400).

135447309649920 is an abundant number, since it is smaller than the sum of its proper divisors (333297908090880).

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

135447309649920 is a wasteful number, since it uses less digits than its factorization.

135447309649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14036 (or 14016 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 66.

The spelling of 135447309649920 in words is "one hundred thirty-five trillion, four hundred forty-seven billion, three hundred nine million, six hundred forty-nine thousand, nine hundred twenty".