540150000 has 240 divisors, whose sum is σ = 1885066848. Its totient is φ = 132480000.

The previous prime is 540149999. The next prime is 540150001. The reversal of 540150000 is 51045.

It is an interprime number because it is at equal distance from previous prime (540149999) and next prime (540150001).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540150001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1949862 + ... + 1950138.

Almost surely, 2^540150000 is an apocalyptic number.

540150000 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 540150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942533424).

540150000 is an abundant number, since it is smaller than the sum of its proper divisors (1344916848).

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

540150000 is a wasteful number, since it uses less digits than its factorization.

540150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 540150000 is about 23241.1273392665. The cubic root of 540150000 is about 814.4006784874.

It can be divided in two parts, 540 and 150000, that multiplied together give a square (81000000 = 9000²).

The spelling of 540150000 in words is "five hundred forty million, one hundred fifty thousand".