135443055456100 has 144 divisors (see below), whose sum is σ = 342859309072000. Its totient is φ = 46423331660160.

The previous prime is 135443055456091. The next prime is 135443055456101. The reversal of 135443055456100 is 1654550344531.

It is not an unprimeable number, because it can be changed into a prime (135443055456101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111177874 + ... + 112389526.

Almost surely, 2^{135443055456100} is an apocalyptic number.

135443055456100 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 135443055456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171429654536000).

135443055456100 is an abundant number, since it is smaller than the sum of its proper divisors (207416253615900).

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

135443055456100 is a wasteful number, since it uses less digits than its factorization.

135443055456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214947 (or 1214926 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 46.

The spelling of 135443055456100 in words is "one hundred thirty-five trillion, four hundred forty-three billion, fifty-five million, four hundred fifty-six thousand, one hundred".