54144145 has 16 divisors (see below), whose sum is σ = 71108928. Its totient is φ = 39250240.

The previous prime is 54144121. The next prime is 54144157.

54144145 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-54144145 is a prime.

Its product of digits (6400) is a multiple of the sum of its prime divisors (3200).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17667 + ... + 20503.

It is an arithmetic number, because the mean of its divisors is an integer number (4444308).

Almost surely, 2^54144145 is an apocalyptic number.

54144145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54144145 is a deficient number, since it is larger than the sum of its proper divisors (16964783).

54144145 is a wasteful number, since it uses less digits than its factorization.

54144145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200.

The product of its digits is 6400, while the sum is 28.

The square root of 54144145 is about 7358.2705169082. The cubic root of 54144145 is about 378.3123334205.

It can be divided in two parts, 54144 and 145, that added together give a square (54289 = 233²).

The spelling of 54144145 in words is "fifty-four million, one hundred forty-four thousand, one hundred forty-five".