135104210120000 has 420 divisors, whose sum is σ = 375187734109188. Its totient is φ = 48201753600000.

The previous prime is 135104210119973. The next prime is 135104210120021. The reversal of 135104210120000 is 21012401531.

It can be written as a sum of positive squares in 10 ways, for example, as 54451884239104 + 80652325880896 = 7379152^2 + 8980664^2 .

It is a super-2 number, since 2×135104210120000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 256256660 + ... + 256783340.

Almost surely, 2^{135104210120000} is an apocalyptic number.

135104210120000 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 135104210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187593867054594).

135104210120000 is an abundant number, since it is smaller than the sum of its proper divisors (240083523989188).

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

135104210120000 is an equidigital number, since it uses as much as digits as its factorization.

135104210120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526788 (or 526752 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 135104210120000 its reverse (21012401531), we get a palindrome (135125222521531).

The spelling of 135104210120000 in words is "one hundred thirty-five trillion, one hundred four billion, two hundred ten million, one hundred twenty thousand".