135239025600 has 2016 divisors, whose sum is σ = 627339847680. Its totient is φ = 27948810240.

The previous prime is 135239025577. The next prime is 135239025601. The reversal of 135239025600 is 6520932531.

135239025600 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 3 + 90 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135239025601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1711886361 + ... + 1711886439.

It is an arithmetic number, because the mean of its divisors is an integer number (311180480).

Almost surely, 2^135239025600 is an apocalyptic number.

135239025600 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 135239025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313669923840).

135239025600 is an abundant number, since it is smaller than the sum of its proper divisors (492100822080).

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

135239025600 is a wasteful number, since it uses less digits than its factorization.

135239025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 135239025600 in words is "one hundred thirty-five billion, two hundred thirty-nine million, twenty-five thousand, six hundred".