540124035 has 24 divisors (see below), whose sum is σ = 949907280. Its totient is φ = 261877440.

The previous prime is 540124021. The next prime is 540124049. The reversal of 540124035 is 530421045.

It is an interprime number because it is at equal distance from previous prime (540124021) and next prime (540124049).

It is not a de Polignac number, because 540124035 - 2⁶ = 540123971 is a prime.

It is a super-4 number, since 4×540124035⁴ (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540123996 and 540124014.

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 23 ways as a sum of consecutive naturals, for example, 146980 + ... + 150609.

It is an arithmetic number, because the mean of its divisors is an integer number (39579470).

Almost surely, 2^540124035 is an apocalyptic number.

540124035 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

540124035 is a deficient number, since it is larger than the sum of its proper divisors (409783245).

540124035 is a wasteful number, since it uses less digits than its factorization.

540124035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297619 (or 297608 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 540124035 is about 23240.5687322836. The cubic root of 540124035 is about 814.3876288700.

The spelling of 540124035 in words is "five hundred forty million, one hundred twenty-four thousand, thirty-five".