135136375920 has 800 divisors, whose sum is σ = 583636394880. Its totient is φ = 28217548800.

The previous prime is 135136375889. The next prime is 135136375921. The reversal of 135136375920 is 29573631531.

135136375920 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 637 + 5 + 9 + 2 + 0 = 666.

135136375920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135136375921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59556546 + ... + 59558814.

Almost surely, 2^135136375920 is an apocalyptic number.

135136375920 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 135136375920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291818197440).

135136375920 is an abundant number, since it is smaller than the sum of its proper divisors (448500018960).

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

135136375920 is a wasteful number, since it uses less digits than its factorization.

135136375920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 135136375920 in words is "one hundred thirty-five billion, one hundred thirty-six million, three hundred seventy-five thousand, nine hundred twenty".