135025290000 has 300 divisors, whose sum is σ = 475419301500. Its totient is φ = 35761536000.

The previous prime is 135025289999. The next prime is 135025290013. The reversal of 135025290000 is 92520531.

135025290000 is a `hidden beast` number, since 1 + 350 + 25 + 290 + 0 + 0 + 0 = 666.

135025290000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 131821277184 + 3204012816 = 363072^2 + 56604^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13404966 + ... + 13415034.

It is an arithmetic number, because the mean of its divisors is an integer number (1584731005).

Almost surely, 2^135025290000 is an apocalyptic number.

135025290000 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 135025290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237709650750).

135025290000 is an abundant number, since it is smaller than the sum of its proper divisors (340394011500).

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

135025290000 is a wasteful number, since it uses less digits than its factorization.

135025290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10252 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 135025290000 in words is "one hundred thirty-five billion, twenty-five million, two hundred ninety thousand".