135540400100000 has 576 divisors, whose sum is σ = 402719994270720. Its totient is φ = 43913587200000.

The previous prime is 135540400099967. The next prime is 135540400100057. The reversal of 135540400100000 is 1004045531.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 954028970 + ... + 954171030.

It is an arithmetic number, because the mean of its divisors is an integer number (699166656720).

Almost surely, 2^{135540400100000} is an apocalyptic number.

135540400100000 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 135540400100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201359997135360).

135540400100000 is an abundant number, since it is smaller than the sum of its proper divisors (267179594170720).

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

135540400100000 is an equidigital number, since it uses as much as digits as its factorization.

135540400100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142179 (or 142151 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 135540400100000 its reverse (1004045531), we get a palindrome (135541404145531).

The spelling of 135540400100000 in words is "one hundred thirty-five trillion, five hundred forty billion, four hundred million, one hundred thousand".