135513620016 has 80 divisors (see below), whose sum is σ = 354228756480. Its totient is φ = 44636106240.

The previous prime is 135513620009. The next prime is 135513620059. The reversal of 135513620016 is 610026315531.

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, 7608081 + ... + 7625871.

It is an arithmetic number, because the mean of its divisors is an integer number (4427859456).

Almost surely, 2^135513620016 is an apocalyptic number.

135513620016 is a gapful number since it is divisible by the number (16) 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 135513620016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177114378240).

135513620016 is an abundant number, since it is smaller than the sum of its proper divisors (218715136464).

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

135513620016 is a wasteful number, since it uses less digits than its factorization.

135513620016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19674 (or 19668 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 135513620016 its reverse (610026315531), we get a palindrome (745539935547).

The spelling of 135513620016 in words is "one hundred thirty-five billion, five hundred thirteen million, six hundred twenty thousand, sixteen".