54135432 has 96 divisors (see below), whose sum is σ = 162943200. Its totient is φ = 16645824.

The previous prime is 54135421. The next prime is 54135439. The reversal of 54135432 is 23453145.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54135396 and 54135405.

It is not an unprimeable number, because it can be changed into a prime (54135439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35763 + ... + 37245.

It is an arithmetic number, because the mean of its divisors is an integer number (1697325).

Almost surely, 2^54135432 is an apocalyptic number.

54135432 is a gapful number since it is divisible by the number (52) 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 54135432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81471600).

54135432 is an abundant number, since it is smaller than the sum of its proper divisors (108807768).

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

54135432 is a wasteful number, since it uses less digits than its factorization.

54135432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1501 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 54135432 is about 7357.6784382032. The cubic root of 54135432 is about 378.2920393691.

Adding to 54135432 its reverse (23453145), we get a palindrome (77588577).

The spelling of 54135432 in words is "fifty-four million, one hundred thirty-five thousand, four hundred thirty-two".