32145142120 has 128 divisors (see below), whose sum is σ = 89078250240. Its totient is φ = 10166446080.

The previous prime is 32145142093. The next prime is 32145142129. The reversal of 32145142120 is 2124154123.

It is not an unprimeable number, because it can be changed into a prime (32145142129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8999935 + ... + 9003505.

It is an arithmetic number, because the mean of its divisors is an integer number (695923830).

Almost surely, 2^32145142120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32145142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44539125120).

32145142120 is an abundant number, since it is smaller than the sum of its proper divisors (56933108120).

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

32145142120 is a wasteful number, since it uses less digits than its factorization.

32145142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 32145142120 its reverse (2124154123), we get a palindrome (34269296243).

The spelling of 32145142120 in words is "thirty-two billion, one hundred forty-five million, one hundred forty-two thousand, one hundred twenty".