135864432 has 80 divisors (see below), whose sum is σ = 425448960. Its totient is φ = 41169600.

The previous prime is 135864431. The next prime is 135864479. The reversal of 135864432 is 234468531.

135864432 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 644 + 3 + 2 = 666.

135864432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135864431) 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, 9544 + ... + 19047.

It is an arithmetic number, because the mean of its divisors is an integer number (5318112).

Almost surely, 2^135864432 is an apocalyptic number.

135864432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135864432 is an abundant number, since it is smaller than the sum of its proper divisors (289584528).

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

135864432 is a wasteful number, since it uses less digits than its factorization.

135864432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28619 (or 28607 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 135864432 is about 11656.0899104288. The cubic root of 135864432 is about 514.0853870570.

The spelling of 135864432 in words is "one hundred thirty-five million, eight hundred sixty-four thousand, four hundred thirty-two".