133632000000 has 672 divisors, whose sum is σ = 499185993150. Its totient is φ = 34406400000.

The previous prime is 133631999957. The next prime is 133632000013. The reversal of 133632000000 is 236331.

It is a happy number.

133632000000 is a `hidden beast` number, since 1 + 33 + 632 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 69594660864 + 64037339136 = 263808^2 + 253056^2 .

It is a super-2 number, since 2×133632000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4607999986 + ... + 4608000014.

Almost surely, 2^133632000000 is an apocalyptic number.

133632000000 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 133632000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249592996575).

133632000000 is an abundant number, since it is smaller than the sum of its proper divisors (365553993150).

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

133632000000 is an frugal number, since it uses more digits than its factorization.

133632000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133632000000 its reverse (236331), we get a palindrome (133632236331).

The spelling of 133632000000 in words is "one hundred thirty-three billion, six hundred thirty-two million", and thus it is an aban number.