14134525800 has 192 divisors, whose sum is σ = 46179365760. Its totient is φ = 3569280000.

The previous prime is 14134525799. The next prime is 14134525831. The reversal of 14134525800 is 852543141.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388730 + ... + 1398870.

It is an arithmetic number, because the mean of its divisors is an integer number (240517530).

Almost surely, 2^14134525800 is an apocalyptic number.

14134525800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14134525800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23089682880).

14134525800 is an abundant number, since it is smaller than the sum of its proper divisors (32044839960).

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

14134525800 is a wasteful number, since it uses less digits than its factorization.

14134525800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10284 (or 10275 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 14134525800 in words is "fourteen billion, one hundred thirty-four million, five hundred twenty-five thousand, eight hundred".