13514142000 has 160 divisors (see below), whose sum is σ = 43816481280. Its totient is φ = 3583353600.

The previous prime is 13514141987. The next prime is 13514142007. The reversal of 13514142000 is 24141531.

It is not an unprimeable number, because it can be changed into a prime (13514142007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067709 + ... + 1080291.

It is an arithmetic number, because the mean of its divisors is an integer number (273853008).

Almost surely, 2^13514142000 is an apocalyptic number.

13514142000 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 13514142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21908240640).

13514142000 is an abundant number, since it is smaller than the sum of its proper divisors (30302339280).

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

13514142000 is a wasteful number, since it uses less digits than its factorization.

13514142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12788 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 13514142000 its reverse (24141531), we get a palindrome (13538283531).

The spelling of 13514142000 in words is "thirteen billion, five hundred fourteen million, one hundred forty-two thousand".