54131220 has 192 divisors, whose sum is σ = 198132480. Its totient is φ = 12096000.

The previous prime is 54131219. The next prime is 54131221. The reversal of 54131220 is 2213145.

54131220 is a `hidden beast` number, since 541 + 3 + 122 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54131219) and next prime (54131221).

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

It is a junction number, because it is equal to n+sod(n) for n = 54131193 and 54131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54131221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76870 + ... + 77570.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^54131220 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 54131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

54131220 is an abundant number, since it is smaller than the sum of its proper divisors (144001260).

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

54131220 is a wasteful number, since it uses less digits than its factorization.

54131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54131220 is about 7357.3922010452. The cubic root of 54131220 is about 378.2822281276.

Adding to 54131220 its reverse (2213145), we get a palindrome (56344365).

The spelling of 54131220 in words is "fifty-four million, one hundred thirty-one thousand, two hundred twenty".