135024020340000 has 960 divisors, whose sum is σ = 506300475985920. Its totient is φ = 31178076160000.

The previous prime is 135024020339987. The next prime is 135024020340007. The reversal of 135024020340000 is 43020420531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (135024020340007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3628001392 + ... + 3628038608.

It is an arithmetic number, because the mean of its divisors is an integer number (527396329152).

Almost surely, 2^{135024020340000} is an apocalyptic number.

135024020340000 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 135024020340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253150237992960).

135024020340000 is an abundant number, since it is smaller than the sum of its proper divisors (371276455645920).

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

135024020340000 is a wasteful number, since it uses less digits than its factorization.

135024020340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37523 (or 37500 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 135024020340000 its reverse (43020420531), we get a palindrome (135067040760531).

The spelling of 135024020340000 in words is "one hundred thirty-five trillion, twenty-four billion, twenty million, three hundred forty thousand".