456100800135 has 16 divisors (see below), whose sum is σ = 729912892896. Its totient is φ = 243203222528.

The previous prime is 456100800049. The next prime is 456100800139. The reversal of 456100800135 is 531008001654.

It is a cyclic number.

It is not a de Polignac number, because 456100800135 - 2¹⁰ = 456100799111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456100800096 and 456100800105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456100800139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3083934 + ... + 3228443.

It is an arithmetic number, because the mean of its divisors is an integer number (45619555806).

Almost surely, 2^456100800135 is an apocalyptic number.

456100800135 is a deficient number, since it is larger than the sum of its proper divisors (273812092761).

456100800135 is a wasteful number, since it uses less digits than its factorization.

456100800135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317202.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 456100800135 its reverse (531008001654), we get a palindrome (987108801789).

The spelling of 456100800135 in words is "four hundred fifty-six billion, one hundred million, eight hundred thousand, one hundred thirty-five".