14115134000 has 480 divisors, whose sum is σ = 41122867968. Its totient is φ = 4663296000.

The previous prime is 14115133997. The next prime is 14115134009. The reversal of 14115134000 is 43151141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115134009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193357964 + ... + 193358036.

Almost surely, 2^14115134000 is an apocalyptic number.

14115134000 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 14115134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20561433984).

14115134000 is an abundant number, since it is smaller than the sum of its proper divisors (27007733968).

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

14115134000 is a wasteful number, since it uses less digits than its factorization.

14115134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 14115134000 its reverse (43151141), we get a palindrome (14158285141).

The spelling of 14115134000 in words is "fourteen billion, one hundred fifteen million, one hundred thirty-four thousand".