132704947200 has 528 divisors, whose sum is σ = 504244551680. Its totient is φ = 30151802880.

The previous prime is 132704947159. The next prime is 132704947223. The reversal of 132704947200 is 2749407231.

It is a super-2 number, since 2×132704947200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103756161 + ... + 103757439.

Almost surely, 2^132704947200 is an apocalyptic number.

132704947200 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 132704947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252122275840).

132704947200 is an abundant number, since it is smaller than the sum of its proper divisors (371539604480).

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

132704947200 is a wasteful number, since it uses less digits than its factorization.

132704947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 132704947200 in words is "one hundred thirty-two billion, seven hundred four million, nine hundred forty-seven thousand, two hundred".