133212132000 has 288 divisors, whose sum is σ = 477463778064. Its totient is φ = 35170560000.

The previous prime is 133212131993. The next prime is 133212132029. The reversal of 133212132000 is 231212331.

133212132000 is a `hidden beast` number, since 1 + 3 + 321 + 21 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20162864016 + 113049267984 = 141996^2 + 336228^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×133212132000² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3617682 + ... + 3654318.

Almost surely, 2^133212132000 is an apocalyptic number.

133212132000 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 133212132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238731889032).

133212132000 is an abundant number, since it is smaller than the sum of its proper divisors (344251646064).

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

133212132000 is a wasteful number, since it uses less digits than its factorization.

133212132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36769 (or 36748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133212132000 its reverse (231212331), we get a palindrome (133443344331).

The spelling of 133212132000 in words is "one hundred thirty-three billion, two hundred twelve million, one hundred thirty-two thousand".