135930574080 has 864 divisors, whose sum is σ = 568261564416. Its totient is φ = 29327671296.

The previous prime is 135930574009. The next prime is 135930574123. The reversal of 135930574080 is 80475039531.

135930574080 is a `hidden beast` number, since 1 + 3 + 593 + 0 + 57 + 4 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153941319 + ... + 153942201.

It is an arithmetic number, because the mean of its divisors is an integer number (657710144).

Almost surely, 2^135930574080 is an apocalyptic number.

135930574080 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 135930574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284130782208).

135930574080 is an abundant number, since it is smaller than the sum of its proper divisors (432330990336).

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

135930574080 is a wasteful number, since it uses less digits than its factorization.

135930574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 135930574080 in words is "one hundred thirty-five billion, nine hundred thirty million, five hundred seventy-four thousand, eighty".