135421101344000 has 288 divisors, whose sum is σ = 348295034959872. Its totient is φ = 52411760640000.

The previous prime is 135421101343999. The next prime is 135421101344003. The reversal of 135421101344000 is 443101124531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135421101344003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8815896320 + ... + 8815911680.

Almost surely, 2^{135421101344000} is an apocalyptic number.

135421101344000 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 135421101344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174147517479936).

135421101344000 is an abundant number, since it is smaller than the sum of its proper divisors (212873933615872).

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

135421101344000 is an equidigital number, since it uses as much as digits as its factorization.

135421101344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24310 (or 24286 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 135421101344000 its reverse (443101124531), we get a palindrome (135864202468531).

The spelling of 135421101344000 in words is "one hundred thirty-five trillion, four hundred twenty-one billion, one hundred one million, three hundred forty-four thousand".