135207864 has 96 divisors (see below), whose sum is σ = 412439040. Its totient is φ = 39643200.

The previous prime is 135207859. The next prime is 135207893. The reversal of 135207864 is 468702531.

135207864 is a `hidden beast` number, since 1 + 3 + 520 + 78 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21799 + ... + 27305.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^135207864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135207864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206219520).

135207864 is an abundant number, since it is smaller than the sum of its proper divisors (277231176).

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

135207864 is a wasteful number, since it uses less digits than its factorization.

135207864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135207864 is about 11627.8916403620. The cubic root of 135207864 is about 513.2559396824.

The spelling of 135207864 in words is "one hundred thirty-five million, two hundred seven thousand, eight hundred sixty-four".