135378432 has 160 divisors (see below), whose sum is σ = 458304000. Its totient is φ = 38651904.

The previous prime is 135378403. The next prime is 135378473. The reversal of 135378432 is 234873531.

135378432 is a `hidden beast` number, since 13 + 537 + 84 + 32 = 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96069 + ... + 97467.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2^135378432 is an apocalyptic number.

135378432 is a gapful number since it is divisible by the number (12) 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 135378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229152000).

135378432 is an abundant number, since it is smaller than the sum of its proper divisors (322925568).

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

135378432 is an equidigital number, since it uses as much as digits as its factorization.

135378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1411 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 135378432 is about 11635.2237623520. The cubic root of 135378432 is about 513.4716772609.

The spelling of 135378432 in words is "one hundred thirty-five million, three hundred seventy-eight thousand, four hundred thirty-two".