135605401520 has 80 divisors (see below), whose sum is σ = 319753686240. Its totient is φ = 53473646592.

The previous prime is 135605401511. The next prime is 135605401537. The reversal of 135605401520 is 25104506531.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16458842 + ... + 16467078.

It is an arithmetic number, because the mean of its divisors is an integer number (3996921078).

Almost surely, 2^135605401520 is an apocalyptic number.

135605401520 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 135605401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159876843120).

135605401520 is an abundant number, since it is smaller than the sum of its proper divisors (184148284720).

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

135605401520 is a wasteful number, since it uses less digits than its factorization.

135605401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 135605401520 in words is "one hundred thirty-five billion, six hundred five million, four hundred one thousand, five hundred twenty".