54131280 has 120 divisors (see below), whose sum is σ = 195246432. Its totient is φ = 12370176.

The previous prime is 54131279. The next prime is 54131293. The reversal of 54131280 is 8213145.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54131280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9459 + ... + 14061.

Almost surely, 2^54131280 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 54131280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97623216).

54131280 is an abundant number, since it is smaller than the sum of its proper divisors (141115152).

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

54131280 is a wasteful number, since it uses less digits than its factorization.

54131280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 54131280 is about 7357.3962785757. The cubic root of 54131280 is about 378.2823678924.

The spelling of 54131280 in words is "fifty-four million, one hundred thirty-one thousand, two hundred eighty".