132033705714000 has 480 divisors, whose sum is σ = 490133714553600. Its totient is φ = 33032031206400.

The previous prime is 132033705713993. The next prime is 132033705714047. The reversal of 132033705714000 is 417507330231.

132033705714000 is a `hidden beast` number, since 13 + 2 + 0 + 3 + 3 + 70 + 571 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 33351906 + ... + 37100094.

It is an arithmetic number, because the mean of its divisors is an integer number (1021111905320).

Almost surely, 2^{132033705714000} is an apocalyptic number.

132033705714000 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 132033705714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245066857276800).

132033705714000 is an abundant number, since it is smaller than the sum of its proper divisors (358100008839600).

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

132033705714000 is a wasteful number, since it uses less digits than its factorization.

132033705714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748340 (or 3748321 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 132033705714000 in words is "one hundred thirty-two trillion, thirty-three billion, seven hundred five million, seven hundred fourteen thousand".