54705132 has 72 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 17435088.

The previous prime is 54705113. The next prime is 54705137. The reversal of 54705132 is 23150745.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 54705096 and 54705105.

It is not an unprimeable number, because it can be changed into a prime (54705137) 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, 21133 + ... + 23579.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 2^54705132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54705132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

54705132 is an abundant number, since it is smaller than the sum of its proper divisors (94994964).

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

54705132 is a wasteful number, since it uses less digits than its factorization.

54705132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 54705132 is about 7396.2917735849. The cubic root of 54705132 is about 379.6144103482.

Adding to 54705132 its reverse (23150745), we get a palindrome (77855877).

The spelling of 54705132 in words is "fifty-four million, seven hundred five thousand, one hundred thirty-two".