540134400 has 264 divisors, whose sum is σ = 1926046864. Its totient is φ = 132710400.

The previous prime is 540134381. The next prime is 540134423. The reversal of 540134400 is 4431045.

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, 998130 + ... + 998670.

Almost surely, 2^540134400 is an apocalyptic number.

540134400 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 540134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963023432).

540134400 is an abundant number, since it is smaller than the sum of its proper divisors (1385912464).

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

540134400 is a wasteful number, since it uses less digits than its factorization.

540134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 540134400 is about 23240.7917248961. The cubic root of 540134400 is about 814.3928382128.

Adding to 540134400 its reverse (4431045), we get a palindrome (544565445).

It can be divided in two parts, 540 and 134400, that added together give a triangular number (134940 = T₅₁₉).

The spelling of 540134400 in words is "five hundred forty million, one hundred thirty-four thousand, four hundred".