55152 has 30 divisors (see below), whose sum is σ = 154752. Its totient is φ = 18336.

The previous prime is 55147. The next prime is 55163. The reversal of 55152 is 25155.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

55152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48 + ... + 335.

2⁵⁵¹⁵² 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 55152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376).

55152 is an abundant number, since it is smaller than the sum of its proper divisors (99600).

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

55152 is a wasteful number, since it uses less digits than its factorization.

55152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its digits is 250, while the sum is 18.

The square root of 55152 is about 234.8446294894. The cubic root of 55152 is about 38.0645256430.

The spelling of 55152 in words is "fifty-five thousand, one hundred fifty-two".