132204933630 has 288 divisors, whose sum is σ = 444441580128. Its totient is φ = 26952307200.

The previous prime is 132204933611. The next prime is 132204933631. The reversal of 132204933630 is 36339402231.

132204933630 is a `hidden beast` number, since 1 + 3 + 2 + 204 + 93 + 363 + 0 = 666.

132204933630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132204933630² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132204933631) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2545320 + ... + 2596740.

It is an arithmetic number, because the mean of its divisors is an integer number (1543199931).

Almost surely, 2^132204933630 is an apocalyptic number.

132204933630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132204933630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222220790064).

132204933630 is an abundant number, since it is smaller than the sum of its proper divisors (312236646498).

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

132204933630 is a wasteful number, since it uses less digits than its factorization.

132204933630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51512 (or 51502 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 132204933630 in words is "one hundred thirty-two billion, two hundred four million, nine hundred thirty-three thousand, six hundred thirty".