54577152 has 240 divisors, whose sum is σ = 190270080. Its totient is φ = 15261696.

The previous prime is 54577097. The next prime is 54577153. The reversal of 54577152 is 25177545.

It is a super-2 number, since 2×54577152² = 5957331040862208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54577153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161193 + ... + 1161239.

It is an arithmetic number, because the mean of its divisors is an integer number (792792).

Almost surely, 2^54577152 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 54577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

54577152 is an abundant number, since it is smaller than the sum of its proper divisors (135692928).

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

54577152 is an equidigital number, since it uses as much as digits as its factorization.

54577152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 54577152 is about 7387.6350749073. The cubic root of 54577152 is about 379.3181493719.

The spelling of 54577152 in words is "fifty-four million, five hundred seventy-seven thousand, one hundred fifty-two".