135459364950 has 288 divisors, whose sum is σ = 458849506752. Its totient is φ = 27883008000.

The previous prime is 135459364939. The next prime is 135459364967. The reversal of 135459364950 is 59463954531.

135459364950 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 593 + 6 + 49 + 5 + 0 = 666.

135459364950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1638610 + ... + 1719290.

It is an arithmetic number, because the mean of its divisors is an integer number (1593227454).

Almost surely, 2^135459364950 is an apocalyptic number.

135459364950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135459364950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229424753376).

135459364950 is an abundant number, since it is smaller than the sum of its proper divisors (323390141802).

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

135459364950 is a wasteful number, since it uses less digits than its factorization.

135459364950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80760 (or 80752 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 135459364950 in words is "one hundred thirty-five billion, four hundred fifty-nine million, three hundred sixty-four thousand, nine hundred fifty".