54745152 has 252 divisors, whose sum is σ = 192152016. Its totient is φ = 13601280.

The previous prime is 54745147. The next prime is 54745157. The reversal of 54745152 is 25154745.

It is an interprime number because it is at equal distance from previous prime (54745147) and next prime (54745157).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (54745157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2380213 + ... + 2380235.

It is an arithmetic number, because the mean of its divisors is an integer number (762508).

Almost surely, 2^54745152 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 54745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96076008).

54745152 is an abundant number, since it is smaller than the sum of its proper divisors (137406864).

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

54745152 is a wasteful number, since it uses less digits than its factorization.

54745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its digits is 28000, while the sum is 33.

The square root of 54745152 is about 7398.9966887410. The cubic root of 54745152 is about 379.7069578235.

Multiplying 54745152 by its sum of digits (33), we get a square (1806590016 = 42504²).

54745152 divided by its sum of digits (33) gives a square (1658944 = 1288²).

Adding to 54745152 its reverse (25154745), we get a palindrome (79899897).

The spelling of 54745152 in words is "fifty-four million, seven hundred forty-five thousand, one hundred fifty-two".