135784366080 has 544 divisors, whose sum is σ = 491484792960. Its totient is φ = 31708938240.

The previous prime is 135784366037. The next prime is 135784366127. The reversal of 135784366080 is 80663487531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313589544 + ... + 313589976.

Almost surely, 2^135784366080 is an apocalyptic number.

135784366080 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 135784366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245742396480).

135784366080 is an abundant number, since it is smaller than the sum of its proper divisors (355700426880).

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

135784366080 is an equidigital number, since it uses as much as digits as its factorization.

135784366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 135784366080 in words is "one hundred thirty-five billion, seven hundred eighty-four million, three hundred sixty-six thousand, eighty".