135201440000 has 180 divisors, whose sum is σ = 367898047440. Its totient is φ = 49163520000.

The previous prime is 135201439973. The next prime is 135201440021. The reversal of 135201440000 is 44102531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1721591 + ... + 1798409.

Almost surely, 2^135201440000 is an apocalyptic number.

135201440000 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 135201440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183949023720).

135201440000 is an abundant number, since it is smaller than the sum of its proper divisors (232696607440).

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

135201440000 is an frugal number, since it uses more digits than its factorization.

135201440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76866 (or 76837 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 135201440000 its reverse (44102531), we get a palindrome (135245542531).

The spelling of 135201440000 in words is "one hundred thirty-five billion, two hundred one million, four hundred forty thousand".