13432142000 has 160 divisors (see below), whose sum is σ = 34533682560. Its totient is φ = 5053107200.

The previous prime is 13432141991. The next prime is 13432142069. The reversal of 13432142000 is 24123431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9825317 + ... + 9826683.

It is an arithmetic number, because the mean of its divisors is an integer number (215835516).

Almost surely, 2^13432142000 is an apocalyptic number.

13432142000 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 13432142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17266841280).

13432142000 is an abundant number, since it is smaller than the sum of its proper divisors (21101540560).

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

13432142000 is an equidigital number, since it uses as much as digits as its factorization.

13432142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13432142000 its reverse (24123431), we get a palindrome (13456265431).

The spelling of 13432142000 in words is "thirteen billion, four hundred thirty-two million, one hundred forty-two thousand".