54135400 has 72 divisors (see below), whose sum is σ = 138409110. Its totient is φ = 19676800.

The previous prime is 54135379. The next prime is 54135421. The reversal of 54135400 is 453145.

It is an interprime number because it is at equal distance from previous prime (54135379) and next prime (54135421).

It can be written as a sum of positive squares in 3 ways, for example, as 46812964 + 7322436 = 6842^2 + 2706^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23082 + ... + 25318.

Almost surely, 2^54135400 is an apocalyptic number.

54135400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69204555).

54135400 is an abundant number, since it is smaller than the sum of its proper divisors (84273710).

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

54135400 is a wasteful number, since it uses less digits than its factorization.

54135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 54135400 is about 7357.6762636039. The cubic root of 54135400 is about 378.2919648317.

Adding to 54135400 its reverse (453145), we get a palindrome (54588545).

The spelling of 54135400 in words is "fifty-four million, one hundred thirty-five thousand, four hundred".