135678564 has 252 divisors, whose sum is σ = 450980544. Its totient is φ = 34898688.

The previous prime is 135678539. The next prime is 135678623. The reversal of 135678564 is 465876531.

135678564 is a `hidden beast` number, since 1 + 3 + 567 + 85 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5899057 + ... + 5899079.

Almost surely, 2^135678564 is an apocalyptic number.

135678564 is a gapful number since it is divisible by the number (14) 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 135678564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225490272).

135678564 is an abundant number, since it is smaller than the sum of its proper divisors (315301980).

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

135678564 is a wasteful number, since it uses less digits than its factorization.

135678564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 135678564 is about 11648.1141821327. The cubic root of 135678564 is about 513.8508502533.

The spelling of 135678564 in words is "one hundred thirty-five million, six hundred seventy-eight thousand, five hundred sixty-four".