135521186304 has 480 divisors, whose sum is σ = 447100758720. Its totient is φ = 36267098112.

The previous prime is 135521186299. The next prime is 135521186329. The reversal of 135521186304 is 403681125531.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138711064 + ... + 138712040.

It is an arithmetic number, because the mean of its divisors is an integer number (931459914).

Almost surely, 2^135521186304 is an apocalyptic number.

135521186304 is a gapful number since it is divisible by the number (14) 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 135521186304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223550379360).

135521186304 is an abundant number, since it is smaller than the sum of its proper divisors (311579572416).

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

135521186304 is an equidigital number, since it uses as much as digits as its factorization.

135521186304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 135521186304 in words is "one hundred thirty-five billion, five hundred twenty-one million, one hundred eighty-six thousand, three hundred four".