135762432 has 120 divisors (see below), whose sum is σ = 392390064. Its totient is φ = 41693184.

The previous prime is 135762413. The next prime is 135762433. The reversal of 135762432 is 234267531.

It is a junction number, because it is equal to n+sod(n) for n = 135762393 and 135762402.

It is not an unprimeable number, because it can be changed into a prime (135762433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259323 + ... + 259845.

Almost surely, 2^135762432 is an apocalyptic number.

135762432 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 135762432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196195032).

135762432 is an abundant number, since it is smaller than the sum of its proper divisors (256627632).

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

135762432 is an equidigital number, since it uses as much as digits as its factorization.

135762432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 541 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 135762432 is about 11651.7136937019. The cubic root of 135762432 is about 513.9567052614.

The spelling of 135762432 in words is "one hundred thirty-five million, seven hundred sixty-two thousand, four hundred thirty-two".