540105192 has 128 divisors (see below), whose sum is σ = 1667952000. Its totient is φ = 160542720.

The previous prime is 540105187. The next prime is 540105199. The reversal of 540105192 is 291501045.

540105192 is a `hidden beast` number, since 540 + 105 + 19 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (540105199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123784 + ... + 128072.

It is an arithmetic number, because the mean of its divisors is an integer number (13030875).

Almost surely, 2^540105192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540105192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833976000).

540105192 is an abundant number, since it is smaller than the sum of its proper divisors (1127846808).

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

540105192 is a wasteful number, since it uses less digits than its factorization.

540105192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 540105192 is about 23240.1633384966. The cubic root of 540105192 is about 814.3781584005.

The spelling of 540105192 in words is "five hundred forty million, one hundred five thousand, one hundred ninety-two".