54134640 has 240 divisors, whose sum is σ = 217271808. Its totient is φ = 11810304.

The previous prime is 54134627. The next prime is 54134651. The reversal of 54134640 is 4643145.

54134640 is a `hidden beast` number, since 5 + 4 + 13 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115687 + ... + 116153.

Almost surely, 2^54134640 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 54134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108635904).

54134640 is an abundant number, since it is smaller than the sum of its proper divisors (163137168).

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

54134640 is a wasteful number, since it uses less digits than its factorization.

54134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54134640 is about 7357.6246166817. The cubic root of 54134640 is about 378.2901945591.

Adding to 54134640 its reverse (4643145), we get a palindrome (58777785).

The spelling of 54134640 in words is "fifty-four million, one hundred thirty-four thousand, six hundred forty".