135512312322000 has 160 divisors (see below), whose sum is σ = 436940193216384. Its totient is φ = 36132605184000.

The previous prime is 135512312321851. The next prime is 135512312322007. The reversal of 135512312322000 is 223213215531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135512312322007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52996947 + ... + 55495053.

Almost surely, 2^{135512312322000} is an apocalyptic number.

135512312322000 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 135512312322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218470096608192).

135512312322000 is an abundant number, since it is smaller than the sum of its proper divisors (301427880894384).

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

135512312322000 is a wasteful number, since it uses less digits than its factorization.

135512312322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507174 (or 2507158 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 135512312322000 its reverse (223213215531), we get a palindrome (135735525537531).

The spelling of 135512312322000 in words is "one hundred thirty-five trillion, five hundred twelve billion, three hundred twelve million, three hundred twenty-two thousand".