135432864 has 192 divisors, whose sum is σ = 461664000. Its totient is φ = 38610432.

The previous prime is 135432851. The next prime is 135432889. The reversal of 135432864 is 468234531.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296124 + ... + 296580.

It is an arithmetic number, because the mean of its divisors is an integer number (2404500).

Almost surely, 2^135432864 is an apocalyptic number.

135432864 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 135432864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230832000).

135432864 is an abundant number, since it is smaller than the sum of its proper divisors (326231136).

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

135432864 is an equidigital number, since it uses as much as digits as its factorization.

135432864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 469 counting only the distinct ones).

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

The square root of 135432864 is about 11637.5626314104. The cubic root of 135432864 is about 513.5404857234.

The spelling of 135432864 in words is "one hundred thirty-five million, four hundred thirty-two thousand, eight hundred sixty-four".