1564134012100 has 36 divisors (see below), whose sum is σ = 3702731791248. Its totient is φ = 568776004000.

The previous prime is 1564134012083. The next prime is 1564134012101. The reversal of 1564134012100 is 12104314651.

It is not an unprimeable number, because it can be changed into a prime (1564134012101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 710968906 + ... + 710971105.

It is an arithmetic number, because the mean of its divisors is an integer number (102853660868).

Almost surely, 2^{1564134012100} is an apocalyptic number.

1564134012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1564134012100 is an abundant number, since it is smaller than the sum of its proper divisors (2138597779148).

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

1564134012100 is a wasteful number, since it uses less digits than its factorization.

1564134012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421940036 (or 1421940029 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 1564134012100 its reverse (12104314651), we get a palindrome (1576238326751).

The spelling of 1564134012100 in words is "one trillion, five hundred sixty-four billion, one hundred thirty-four million, twelve thousand, one hundred".