135975456 has 96 divisors (see below), whose sum is σ = 398623680. Its totient is φ = 45093888.

The previous prime is 135975451. The next prime is 135975479. The reversal of 135975456 is 654579531.

135975456 is a `hidden beast` number, since 1 + 3 + 597 + 5 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (135975451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290935 + ... + 291401.

It is an arithmetic number, because the mean of its divisors is an integer number (4152330).

Almost surely, 2^135975456 is an apocalyptic number.

135975456 is a gapful number since it is divisible by the number (16) 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 135975456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199311840).

135975456 is an abundant number, since it is smaller than the sum of its proper divisors (262648224).

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

135975456 is a wasteful number, since it uses less digits than its factorization.

135975456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 135975456 is about 11660.8514268899. The cubic root of 135975456 is about 514.2253802237.

The spelling of 135975456 in words is "one hundred thirty-five million, nine hundred seventy-five thousand, four hundred fifty-six".