55142120 has 48 divisors (see below), whose sum is σ = 136386180. Its totient is φ = 20049920.

The previous prime is 55142093. The next prime is 55142141. The reversal of 55142120 is 2124155.

55142120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54967396 + 174724 = 7414^2 + 418^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 55142092 and 55142101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 857 + ... + 10536.

Almost surely, 2^55142120 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 55142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68193090).

55142120 is an abundant number, since it is smaller than the sum of its proper divisors (81244060).

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

55142120 is a wasteful number, since it uses less digits than its factorization.

55142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11426 (or 11411 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 55142120 is about 7425.7740337287. The cubic root of 55142120 is about 380.6225253132.

Adding to 55142120 its reverse (2124155), we get a palindrome (57266275).

The spelling of 55142120 in words is "fifty-five million, one hundred forty-two thousand, one hundred twenty".