540135000 has 160 divisors (see below), whose sum is σ = 1875337200. Its totient is φ = 144000000.

The previous prime is 540134963. The next prime is 540135007. The reversal of 540135000 is 531045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540135007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133000 + ... + 137000.

Almost surely, 2^540135000 is an apocalyptic number.

540135000 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 540135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937668600).

540135000 is an abundant number, since it is smaller than the sum of its proper divisors (1335202200).

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

540135000 is a wasteful number, since it uses less digits than its factorization.

540135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 540135000 is about 23240.8046332308. The cubic root of 540135000 is about 814.3931397646.

Adding to 540135000 its reverse (531045), we get a palindrome (540666045).

It can be divided in two parts, 5401 and 35000, that added together give a square (40401 = 201²).

The spelling of 540135000 in words is "five hundred forty million, one hundred thirty-five thousand".