1540352120 has 32 divisors (see below), whose sum is σ = 3487881600. Its totient is φ = 612213888.

The previous prime is 1540351993. The next prime is 1540352179. The reversal of 1540352120 is 212530451.

1540352120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116360 + ... + 128919.

It is an arithmetic number, because the mean of its divisors is an integer number (108996300).

Almost surely, 2^1540352120 is an apocalyptic number.

1540352120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540352120 is an abundant number, since it is smaller than the sum of its proper divisors (1947529480).

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

1540352120 is a wasteful number, since it uses less digits than its factorization.

1540352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245447 (or 245443 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1540352120 is about 39247.3199084982. The cubic root of 1540352120 is about 1154.8883583676. Note that the first 3 decimals are identical.

Adding to 1540352120 its reverse (212530451), we get a palindrome (1752882571).

The spelling of 1540352120 in words is "one billion, five hundred forty million, three hundred fifty-two thousand, one hundred twenty".