14564135100 has 72 divisors (see below), whose sum is σ = 42716206960. Its totient is φ = 3830561280.

The previous prime is 14564135051. The next prime is 14564135111. The reversal of 14564135100 is 153146541.

It is a happy number.

It is a super-2 number, since 2×14564135100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310615 + ... + 354414.

Almost surely, 2^14564135100 is an apocalyptic number.

14564135100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14564135100 is an abundant number, since it is smaller than the sum of its proper divisors (28152071860).

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

14564135100 is a wasteful number, since it uses less digits than its factorization.

14564135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665119 (or 665112 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 14564135100 in words is "fourteen billion, five hundred sixty-four million, one hundred thirty-five thousand, one hundred".