135510320000 has 240 divisors, whose sum is σ = 370826610000. Its totient is φ = 49272960000.

The previous prime is 135510319991. The next prime is 135510320009. The reversal of 135510320000 is 23015531.

It is an interprime number because it is at equal distance from previous prime (135510319991) and next prime (135510320009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135510320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9673001 + ... + 9686999.

It is an arithmetic number, because the mean of its divisors is an integer number (1545110875).

Almost surely, 2^135510320000 is an apocalyptic number.

135510320000 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 135510320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185413305000).

135510320000 is an abundant number, since it is smaller than the sum of its proper divisors (235316290000).

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

135510320000 is an equidigital number, since it uses as much as digits as its factorization.

135510320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055 (or 14017 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 135510320000 its reverse (23015531), we get a palindrome (135533335531).

The spelling of 135510320000 in words is "one hundred thirty-five billion, five hundred ten million, three hundred twenty thousand".