135014100000 has 432 divisors, whose sum is σ = 479863911744. Its totient is φ = 33221760000.

The previous prime is 135014099999. The next prime is 135014100041. The reversal of 135014100000 is 1410531.

135014100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50698669 + ... + 50701331.

It is an arithmetic number, because the mean of its divisors is an integer number (1110796092).

Almost surely, 2^135014100000 is an apocalyptic number.

135014100000 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 135014100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239931955872).

135014100000 is an abundant number, since it is smaller than the sum of its proper divisors (344849811744).

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

135014100000 is an equidigital number, since it uses as much as digits as its factorization.

135014100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 135014100000 its reverse (1410531), we get a palindrome (135015510531).

The spelling of 135014100000 in words is "one hundred thirty-five billion, fourteen million, one hundred thousand".