135964080 has 240 divisors, whose sum is σ = 532733760. Its totient is φ = 30431232.

The previous prime is 135964067. The next prime is 135964097. The reversal of 135964080 is 80469531.

135964080 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266866 + ... + 267374.

It is an arithmetic number, because the mean of its divisors is an integer number (2219724).

Almost surely, 2^135964080 is an apocalyptic number.

135964080 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 135964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266366880).

135964080 is an abundant number, since it is smaller than the sum of its proper divisors (396769680).

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

135964080 is a wasteful number, since it uses less digits than its factorization.

135964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135964080 is about 11660.3636306935. The cubic root of 135964080 is about 514.2110394222.

The spelling of 135964080 in words is "one hundred thirty-five million, nine hundred sixty-four thousand, eighty".