540141000 has 384 divisors, whose sum is σ = 2068934400. Its totient is φ = 114892800.

The previous prime is 540140981. The next prime is 540141001. The reversal of 540141000 is 141045.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (540141001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6068956 + ... + 6069044.

It is an arithmetic number, because the mean of its divisors is an integer number (5387850).

Almost surely, 2^540141000 is an apocalyptic number.

540141000 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 540141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034467200).

540141000 is an abundant number, since it is smaller than the sum of its proper divisors (1528793400).

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

540141000 is a wasteful number, since it uses less digits than its factorization.

540141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 540141000 is about 23240.9337161827. The cubic root of 540141000 is about 814.3961552705.

Adding to 540141000 its reverse (141045), we get a palindrome (540282045).

The spelling of 540141000 in words is "five hundred forty million, one hundred forty-one thousand".