54541152 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 17049600.

The previous prime is 54541133. The next prime is 54541169. The reversal of 54541152 is 25114545.

54541152 is a `hidden beast` number, since 545 + 4 + 115 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×54541152² = 5949474522974208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365974 + ... + 366122.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^54541152 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 54541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

54541152 is an abundant number, since it is smaller than the sum of its proper divisors (110569248).

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

54541152 is a wasteful number, since it uses less digits than its factorization.

54541152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 54541152 is about 7385.1981693114. The cubic root of 54541152 is about 379.2347295009.

Adding to 54541152 its reverse (25114545), we get a palindrome (79655697).

The spelling of 54541152 in words is "fifty-four million, five hundred forty-one thousand, one hundred fifty-two".