135019008000 has 416 divisors, whose sum is σ = 499260453120. Its totient is φ = 36001382400.

The previous prime is 135019007987. The next prime is 135019008031. The reversal of 135019008000 is 800910531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13819117 + ... + 13828883.

It is an arithmetic number, because the mean of its divisors is an integer number (1200145320).

Almost surely, 2^135019008000 is an apocalyptic number.

135019008000 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 135019008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249630226560).

135019008000 is an abundant number, since it is smaller than the sum of its proper divisors (364241445120).

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

135019008000 is an frugal number, since it uses more digits than its factorization.

135019008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9815 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 135019008000 its reverse (800910531), we get a palindrome (135819918531).

The spelling of 135019008000 in words is "one hundred thirty-five billion, nineteen million, eight thousand".