132135696000 has 1536 divisors, whose sum is σ = 627319779840. Its totient is φ = 25804800000.

The previous prime is 132135695969. The next prime is 132135696001. The reversal of 132135696000 is 696531231.

132135696000 is a `hidden beast` number, since 1 + 32 + 1 + 3 + 569 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132135696001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188495650 + ... + 188496350.

It is an arithmetic number, because the mean of its divisors is an integer number (408411315).

Almost surely, 2^132135696000 is an apocalyptic number.

132135696000 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 132135696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313659889920).

132135696000 is an abundant number, since it is smaller than the sum of its proper divisors (495184083840).

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

132135696000 is a wasteful number, since it uses less digits than its factorization.

132135696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 132135696000 in words is "one hundred thirty-two billion, one hundred thirty-five million, six hundred ninety-six thousand".