132329472000 has 768 divisors, whose sum is σ = 489499264800. Its totient is φ = 31719424000.

The previous prime is 132329471993. The next prime is 132329472001. The reversal of 132329472000 is 274923231.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×132329472000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132329472001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1486847956 + ... + 1486848044.

Almost surely, 2^132329472000 is an apocalyptic number.

132329472000 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 132329472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244749632400).

132329472000 is an abundant number, since it is smaller than the sum of its proper divisors (357169792800).

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

132329472000 is an frugal number, since it uses more digits than its factorization.

132329472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 132329472000 in words is "one hundred thirty-two billion, three hundred twenty-nine million, four hundred seventy-two thousand".