135569952 has 72 divisors (see below), whose sum is σ = 440608896. Its totient is φ = 38733696.

The previous prime is 135569947. The next prime is 135569953. The reversal of 135569952 is 259965531.

135569952 is a `hidden beast` number, since 1 + 3 + 556 + 9 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 135569898 and 135569907.

It is not an unprimeable number, because it can be changed into a prime (135569953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31608 + ... + 35639.

It is an arithmetic number, because the mean of its divisors is an integer number (6119568).

Almost surely, 2^135569952 is an apocalyptic number.

135569952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135569952 is an abundant number, since it is smaller than the sum of its proper divisors (305038944).

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

135569952 is a wasteful number, since it uses less digits than its factorization.

135569952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67270 (or 67259 counting only the distinct ones).

The product of its digits is 364500, while the sum is 45.

The square root of 135569952 is about 11643.4510348092. The cubic root of 135569952 is about 513.7136994615.

The spelling of 135569952 in words is "one hundred thirty-five million, five hundred sixty-nine thousand, nine hundred fifty-two".