54153216 has 156 divisors (see below), whose sum is σ = 169946868. Its totient is φ = 16515072.

The previous prime is 54153199. The next prime is 54153269. The reversal of 54153216 is 61235145.

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 50466816 = 1920^2 + 7104^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a self number, because there is not a number n which added to its sum of digits gives 54153216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479176 + ... + 479288.

It is an arithmetic number, because the mean of its divisors is an integer number (1089403).

Almost surely, 2^54153216 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 54153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84973434).

54153216 is an abundant number, since it is smaller than the sum of its proper divisors (115793652).

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

54153216 is a wasteful number, since it uses less digits than its factorization.

54153216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 54153216 is about 7358.8868723469. The cubic root of 54153216 is about 378.3334590015. Note that the first 3 decimals are identical.

The spelling of 54153216 in words is "fifty-four million, one hundred fifty-three thousand, two hundred sixteen".