14302132000 has 144 divisors (see below), whose sum is σ = 38053170792. Its totient is φ = 5280537600.

The previous prime is 14302131979. The next prime is 14302132127. The reversal of 14302132000 is 23120341.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8962030224 + 5340101776 = 94668^2 + 73076^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665422 + ... + 686578.

Almost surely, 2^14302132000 is an apocalyptic number.

14302132000 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 14302132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19026585396).

14302132000 is an abundant number, since it is smaller than the sum of its proper divisors (23751038792).

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

14302132000 is a wasteful number, since it uses less digits than its factorization.

14302132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21208 (or 21177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14302132000 its reverse (23120341), we get a palindrome (14325252341).

The spelling of 14302132000 in words is "fourteen billion, three hundred two million, one hundred thirty-two thousand".